Laws of Exponents

Front

What is the product of powers rule in exponents?

Back

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

Tags

CCSS.8.EE.A.1

Front

What is the power of a power rule in exponents?

Back

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

Tags

CCSS.8.EE.A.1

Front

What is the quotient of powers rule in exponents?

Back

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

Tags

CCSS.8.EE.A.1

Front

What does a negative exponent represent?

Back

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

Tags

CCSS.8.EE.A.1

Front

How do you simplify an expression with a negative exponent?

Back

To simplify an expression with a negative exponent, rewrite it as a fraction. For example, x^-3 = 1/x^3.

Tags

CCSS.8.EE.A.1

Front

What is the zero exponent rule?

Back

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

Tags

CCSS.8.EE.A.1

Front

Evaluate: (x^2)^3

Back

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

Tags

CCSS.8.EE.A.1

Front

Evaluate: x^4 * x^2

Back

x^(4+2) = x^6.

Tags

CCSS.8.EE.A.1

Front

Evaluate: x^5 / x^3

Back

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

Tags

CCSS.8.EE.A.1

Front

What is the value of 2^3?

Back

2^3 = 2 * 2 * 2 = 8.

Tags

CCSS.6.EE.A.1