Laws of Exponents Review

Front

What is the product of powers rule in exponents?

Back

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

Front

What is the zero exponent rule?

Back

Any non-zero number raised to the power of zero equals one: a^0 = 1 (where a ≠ 0).

Front

What is the power of a power rule in exponents?

Back

When raising a power to another power, multiply the exponents: (a^m)^n = a^(m*n).

Front

What is the quotient of powers rule in exponents?

Back

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

Front

Simplify: n²⋅n⁴⋅n⁵

Back

n¹¹

Front

Simplify: (-5.7)⁰

Back

1

Front

Simplify: (3t²)³

Back

27t⁶

Front

Simplify: x⁵ ÷ x²

Back

x³

Front

Evaluate: 9⁹ ÷ 9⁴ using the quotient rule.

Back

9⁵

Front

What is the negative exponent rule?

Back

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