Exponent Rules: Basics

Front

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

Back

When multiplying powers with the same base, you add the exponents.

Front

Simplify the expression: 5² ⋅ 5¹

Back

5³

Front

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

Back

When raising a power to another power, you multiply the exponents.

Front

Simplify: (2⁸)²

Back

2¹⁶

Front

Simplify the expression: c⁴ ⋅ c³

Back

c⁷

Front

What happens when you divide powers with the same base?

Back

When dividing powers with the same base, you subtract the exponents.

Front

Simplify: 10⁴ ÷ 10²

Back

10²

Front

What is the value of any non-zero number raised to the power of 0?

Back

Any non-zero number raised to the power of 0 is 1.

Front

Simplify: (10⁴)⁵

Back

10²⁰

Front

What is the rule for multiplying powers with different bases but the same exponent?

Back

When multiplying powers with different bases but the same exponent, you multiply the bases and keep the exponent.