6.1 Simplifying Exponents Practice

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, meaning 2 is multiplied by itself 3 times (2 * 2 * 2 = 8).

Front

Simplify: 2^3 * 2^2

Back

2^(3+2) = 2^5 = 32.

Front

What is the power of a power rule?

Back

The power of a power rule states that (a^m)^n = a^(m*n). For example, (2^3)^2 = 2^(3*2) = 2^6 = 64.

Front

Simplify: (3^2)^3

Back

3^(2*3) = 3^6 = 729.

Front

What is the product of powers rule?

Back

The product of powers rule states that a^m * a^n = a^(m+n). For example, 5^2 * 5^3 = 5^(2+3) = 5^5 = 3125.

Front

Simplify: 4^2 * 4^3

Back

4^(2+3) = 4^5 = 1024.

Front

What is the quotient of powers rule?

Back

The quotient of powers rule states that a^m / a^n = a^(m-n). For example, 7^5 / 7^2 = 7^(5-2) = 7^3 = 343.

Front

Simplify: 10^4 / 10^2

Back

10^(4-2) = 10^2 = 100.

Front

What is zero exponent rule?

Back

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

Front

Simplify: 6^0

Back

6^0 = 1.