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

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 equal to 1. For example, 5^0 = 1.

Front

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

Back

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

Front

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

Back

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

Front

What is the value of a negative exponent?

Back

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

Front

Evaluate: 8^2 - 15 when m = 8.

Back

49.

Front

Evaluate: 4h + 2g + 4 when g = 3 and h = 9.

Back

46.

Front

Evaluate: a^-4 * b^2 when a = -3 and b = 5.

Back

25/81.

Front

Evaluate: a^0 * b^-2 when a = -3 and b = 5.

Back

1/25.

Front

Evaluate: 8x^-3 * y^2 when x = 4 and y = 6.

Back

9/2.