Exponent Rules Review

Front

What is the value of 5^-2?

Back

1/25

Front

State the quotient rule for exponents.

Back

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

Front

Simplify the expression: a^2 * a^3.

Back

a^5 (using the product rule: a^m * a^n = a^(m+n)).

Front

What is the product rule for exponents?

Back

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

Front

How do you simplify a negative exponent?

Back

A negative exponent indicates the reciprocal: a^-n = 1/a^n.

Front

What is the value of 2^8?

Back

256.

Front

If a^0 = 1, what can you say about any non-zero number raised to the power of zero?

Back

Any non-zero number raised to the power of zero equals 1.

Front

What is the value of (x^3)^2?

Back

x^6 (using the power of a power rule: (a^m)^n = a^(m*n)).

Front

Explain the power of a product rule.

Back

(ab)^n = a^n * b^n.

Front

What is the value of 10^-1?

Back

1/10.