Basic 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

Calculate: (2^3)^2

Back

2^6.

Tags

CCSS.8.EE.A.1

Front

Calculate: 3^4 ⋅ 3^2

Back

3^6.

Tags

CCSS.8.EE.A.1

Front

Calculate: 10^5 / 10^3

Back

10^2.

Tags

CCSS.8.EE.A.1

Front

Calculate: (x^2)(x^5)

Back

x^7.

Tags

CCSS.HSA.APR.A.1

Front

Calculate: (y^4)(y^3)(y^2)

Back

y^9.

Tags

CCSS.HSA.APR.A.1