Unit 3 Review - (23-24)

Front

What is the power of a power rule in exponents?

Back

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

Front

Simplify the expression: (x^2)^3

Back

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

Front

What is the product of powers rule in exponents?

Back

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

Front

Simplify the expression: x^3 * x^2

Back

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

Front

What is the quotient of powers rule in exponents?

Back

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

Front

Evaluate: 9^9 / 9^4

Back

9^(9-4) = 9^5.

Front

Simplify the expression: (5^2)^3

Back

5^(2*3) = 5^6.

Front

What is the zero exponent rule?

Back

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

Front

What is the negative exponent rule?

Back

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

Front

Evaluate: 2^3 * 2^2

Back

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