5 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

Simplify: (x^4)(x)

Back

x^5

Tags

CCSS.8.EE.A.1

Front

What is the sum of exponents rule?

Back

When adding exponents with the same base, you cannot combine them unless they are multiplied: a^m + a^n cannot be simplified.

Tags

CCSS.8.EE.A.1

Front

Simplify: n²⋅n⁴⋅n⁵

Back

n^11

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

Simplify: (x^3)(x^2)

Back

x^5

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

Evaluate: 9^5 / 9^0

Back

9^5 (since any number to the power of 0 is 1).

Tags

CCSS.8.EE.A.1

Front

What is the negative exponent rule?

Back

A negative exponent indicates the reciprocal: a^-n = 1/a^n.

Tags

CCSS.8.EE.A.1

Front

Evaluate: 9^9 / 9^5

Back

9^4 (using the quotient rule: 9^(9-5)).

Tags

CCSS.8.EE.A.1