Exponent Rules

Front

What is the product of powers rule in exponents?

Back

When multiplying two powers with the same base, add the exponents: 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: (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: a^m / a^n = a^(m-n).

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: a^0 = 1 (where a ≠ 0).

Tags

CCSS.8.EE.A.1

Front

What is the negative exponent rule?

Back

A negative exponent indicates the reciprocal of the base raised to the opposite positive exponent: a^(-n) = 1/(a^n).

Tags

CCSS.8.EE.A.1

Front

Simplify: (2x/3)^4

Back

(16x^4)/81.

Front

Simplify: (-5p)^2

Back

25p^2.

Front

Simplify: x^10 ⋅ x^4

Back

x^14.

Front

Simplify: (5p^9q^3)(2pq^7)

Back

10p^10q^10.

Front

Simplify: x^8/x^2

Back

x^6.