Exponents

Front

What is an exponent?

Back

An exponent is a number that indicates how many times to multiply the base by itself. For example, in 2^3, 2 is the base and 3 is the exponent.

Front

Simplify: 7^6 ÷ 7^1

Back

7^5

Front

What is the product of powers rule?

Back

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

Front

Simplify: 4^7 × 4^5

Back

4^12

Front

What is the power of a power rule?

Back

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

Front

Simplify: (2^3)^2

Back

2^6

Front

What is the zero exponent rule?

Back

Any non-zero number raised to the power of zero equals one. For example, 5^0 = 1.

Front

Simplify: 2^5 ÷ 2^2

Back

2^3

Front

What is the negative exponent rule?

Back

A negative exponent indicates the reciprocal of the base raised to the absolute value of the exponent. For example, a^-n = 1/a^n.

Front

Simplify: 3^-2

Back

1/3^2