Properties of Exponents

Front

What is the product of powers property of 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 property of 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 zero exponent property?

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 property?

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 3^4 ⋅ 3^7

Back

3^11.

Tags

CCSS.8.EE.A.1

Front

Simplify (3x)^0

Back

1.

Tags

CCSS.8.EE.A.1

Front

Simplify (x^8)(x^−5)

Back

x^3.

Tags

CCSS.8.EE.A.1

Front

Simplify (3x^4)(6x^6)

Back

18x^10.

Tags

CCSS.HSA.APR.A.1

Front

Simplify (8^5)^3

Back

8^15.

Tags

CCSS.8.EE.A.1

Front

What is the quotient of powers property of 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