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: a^m ⋅ a^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 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 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: s^-5 ⋅ s^-2

Back

1/s^7.

Tags

CCSS.8.EE.A.1

Front

Evaluate using the quotient rule: 6^30 / 6^8

Back

6^22.

Tags

CCSS.8.EE.A.1

Front

Write with positive exponents: a^-2

Back

a^2.

Tags

CCSS.8.EE.A.1

Front

Simplify: 5a^4 / 2c

Back

5 / 2a^4c.

Tags

CCSS.HSA.APR.A.1

Front

Rewrite using positive exponents: 3x^-2

Back

3 / x^2.

Tags

CCSS.8.EE.A.1