Exponent Rules Flashcard

Front

What is the value of 7^-2?

Back

1/7^2 = 1/49

Front

How do you rewrite a negative exponent as a positive exponent?

Back

To rewrite a negative exponent as a positive exponent, take the reciprocal of the base and change the sign of the exponent.

Front

Is 7^8 / 7^4 equal to 7^2?

Back

False. The correct simplification is 7^(8-4) = 7^4.

Front

What is the exponential form of multiplying the same base multiple times, such as 5 x 5 x 5 x 5?

Back

5^4.

Front

What is (3x)^3 simplified?

Back

27x^3.

Front

What is the product of two powers with the same base?

Back

To multiply two powers with the same base, add the exponents: a^m * a^n = a^(m+n).

Front

What is the quotient of two powers with the same base?

Back

To divide two powers with the same base, subtract the exponents: a^m / a^n = a^(m-n).

Front

What does a zero exponent equal?

Back

Any non-zero base raised to the power of zero equals 1: a^0 = 1.

Front

How do you simplify (a^m)^n?

Back

To simplify (a^m)^n, multiply the exponents: (a^m)^n = a^(m*n).

Front

What is the value of 2^4?

Back

2^4 = 16.