Exponent Rules

Front

What is the rule for multiplying powers with the same base?

Back

Add the exponents: a^m * a^n = a^(m+n)

Front

What is the rule for dividing powers with the same base?

Back

Subtract the exponents: a^m / a^n = a^(m-n)

Front

What is the rule for raising a power to another power?

Back

Multiply the exponents: (a^m)^n = a^(m*n)

Front

What is the value of (-5p)^2?

Back

25p^2

Front

What is the value of 16^{-5}?

Back

\frac{1}{16^5}

Front

How do you simplify (2x^5)(6x^4)?

Back

Multiply coefficients and add exponents: 12x^9

Front

What is the value of x^{10} * x^{4}?

Back

x^{14}

Front

What is the value of (k^{17})^2?

Back

k^{34}

Front

What is the rule for multiplying coefficients in a product of powers?

Back

Multiply the numerical coefficients together.

Front

What happens to the exponent when you raise a product to a power?

Back

Distribute the exponent to each factor: (ab)^n = a^n * b^n