Negative Exponents Videos - Free Educational Videos for Students in K - 12

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Negative exponents | Exponents, radicals, and scientific notation | Pre-Algebra | Khan Academy


By Khan Academy

How does a negative exponent affect our answer? Before you assume that the answer must be negative, think again!

Negative Exponents | MathHelp.com


By MathHelp.com

In this example, we’re given the functions f(x) = 3x – 2 (read as “f of x equals…”) and g(x) = root x, and we’re asked to find the composite functions f(g(9)) (read as “f of g of 9”) and g(f(9). To find f(g(9)), we first find g(9). Since g(x) = root x, we can find g(9) by substituting a 9 in for the x in the function, to get g(9) = root 9, and the square root of 9 is 3, so g(9) = 3. Now, since g(9) = 3, f(g(9)) is the same thing as f(3), so our next step is to find f(3). And remember that f(x) = 3x – 2, so to find f(3), we substitute a 3 in for the x in the function, and we have f(3) = 3 times 3 minus 2. Notice that I always use parentheses when substituting a value into a function, in this case 3. Finally, 3 times 3 minus 2 simplifies to 9 minus 2, or 7, so f(3) = 7. Therefore, f(g(9)) = 7. Next, to find g(f(9), we first find f(9). Since f(x) = 3x - 2, we find f(9) by substituting a 9 in for the x in the function, to get f(9) = 3 times 9 minus 2, which simplifies to 27 – 2, or 25, so f(9) = 25. Now, since f(9) = 25, g(f(9)) is the same thing as g(25), so our next step is to find g(25). And remember that g(x) = root x, so to find g(25), we substitute a 25 in for the x in the function, to get g(25) = root 25. Finally, the square root of 25 is 5, so g(25) = 5. Therefore, g(f(9)) = 5. It’s important to recognize that

Exponents with negative fractional bases


By Khan Academy

Apply what we know about negative numbers to determine how negative bases with exponents are affected and what patterns develop. Also learn how order of operations affect the pattern.

Exponents with negative fractional bases


By Khan Academy

Apply what we know about negative numbers to determine how negative bases with exponents are affected and what patterns develop. Also learn how order of operations affect the pattern.

Exponents with negative fractional bases


By Khan Academy

Apply what we know about negative numbers to determine how negative bases with exponents are affected and what patterns develop. Also learn how order of operations affect the pattern.

Exponents with negative fractional bases


By Khan Academy

Apply what we know about negative numbers to determine how negative bases with exponents are affected and what patterns develop. Also learn how order of operations affect the pattern.

Zero, negative, and fractional exponents | Pre-Algebra | Khan Academy


By Khan Academy

Khan Academy presents Zero, Negative, and Fractional Exponents, an educational video resource on math.

Algebra 2 - Rational Exponents


By Yaymath

Join the mathemagician's adventure into simplifying expressions with different exponents. Fraction exponents, negative exponents, and roots of varying powers. YAY MATH!

Rational Exponents | MathHelp.com


By MathHelp.com

In this example, we’re asked to write “a” to the negative 3rd squared in simplest form without negative or zero exponents. Remember that the power rule tells us that when we have a power taken to another power, such as a to the negative 3rd squared, we multiply the exponents. So we have a to the -3 times 2, or a to the negative 6th. Finally, remember from our study of negative exponents that a to the negative 6th can be written as 1 over a to the positive 6th. So a to the negative 3rd squared simplifies to 1 over a to the 6th.

Exponents with negative fractional bases


By Khan Academy

See examples of multiplying and dividing fractions with negative numbers.

Exponents with negative fractional bases


By Khan Academy

See examples of multiplying and dividing fractions with negative numbers.

Exponents with negative fractional bases


By Khan Academy

See examples of multiplying and dividing fractions with negative numbers.

Exponents with negative fractional bases


By Khan Academy

See examples of multiplying and dividing fractions with negative numbers.

Exponent Rules Song – Learn Algebra – Learning Upgrade


By Learning Upgrade

Learn exponent rules through music! Video shows how to multiply and divide numbers with exponents find the number when you have an exponent of an exponent and to find the number when you have a negative exponent. Video is good quality and good for all students as a review or initial learning of the topic.

Unit conversion within the metric system


By Khan Academy

This video lecture series on Pre-algebra from Khan Academy includes Order of Operations Adding and Subtracting Negative Numbers Multiplying and Dividing Negative Numbers Adding and Subtracting Fractions Multiplying and Dividing Fractions Exponents Exponent Rules Simplifying Radicals Introduction to Logarithms Unit Conversion Speed translation.....

Introduction to logarithm properties | Logarithms | Algebra II | Khan Academy


By Khan Academy

This video lecture series on Pre-algebra from Khan Academy includes Order of Operations, Adding and Subtracting Negative Numbers, Multiplying and Dividing Negative Numbers, Adding and Subtracting Fractions, Multiplying and Dividing Fractions, Exponents, Exponent Rules, Simplifying Radicals, Introduction to Logarithms, Unit Conversion, Speed translation.....

Simplifying radicals | Exponents, radicals, and scientific notation | Pre-Algebra | Khan Academy


By Khan Academy

This video lecture series on Pre-algebra from Khan Academy includes Order of Operations, Adding and Subtracting Negative Numbers, Multiplying and Dividing Negative Numbers, Adding and Subtracting Fractions, Multiplying and Dividing Fractions, Exponents, Exponent Rules, Simplifying Radicals, Introduction to Logarithms, Unit Conversion, Speed translation.

Whole number exponents with integer bases


By Khan Academy

Apply what we know about negative numbers to determine how negative bases with exponents are affected and what patterns develop. Also learn how order of operations affect the pattern.

Whole number exponents with integer bases 2


By Khan Academy

Apply what we know about negative numbers to determine how negative bases with exponents are affected and what patterns develop. Also learn how order of operations affect the pattern.