Basic Exponent Rules

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

Simplify the expression: (a^5)(a^4)

Back

a^9

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

Simplify the expression: 5^3 * 5^4

Back

5^7

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 the expression: 5^3 / 5^2

Back

5^1 or 5.

Front

What happens when you raise a base to the power of zero?

Back

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

Front

What is the value of 2^3?

Back

8.

Front

What is the value of (c^5)(c^3)(c^3)?

Back

c^11.

Front

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

Back

x^6.