Negative Exponents

Front

What is a negative exponent?

Back

A negative exponent indicates that the base should be taken as the reciprocal and raised to the opposite positive exponent. For example, x^-n = 1/x^n.

Tags

CCSS.8.EE.A.1

Front

Simplify: (-x)(-x)(-x)(-x)(-x)(-x)

Back

x^6

Front

Solve: (-8)^-2

Back

1/64

Tags

CCSS.8.EE.A.1

Front

Rewrite using a positive exponent: 7^-10

Back

1/7^10

Tags

CCSS.8.EE.A.1

Front

What is the value of 7^-2?

Back

1/49

Tags

CCSS.8.EE.A.1

Front

How do you simplify expressions with negative exponents?

Back

Convert negative exponents to positive by taking the reciprocal of the base.

Tags

CCSS.8.EE.A.1

Front

What is the rule for multiplying powers with the same base?

Back

When multiplying 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 rule for dividing powers with the same base?

Back

When dividing powers with the same base, subtract the exponents: a^m / a^n = a^(m-n).

Tags

CCSS.8.EE.A.1

Front

Simplify: 2x^-5y^7 ⋅ 3x^-4y^-2

Back

6y^5/x^9

Tags

CCSS.8.EE.A.1

Front

What happens when you raise a number to the power of zero?

Back

Any non-zero number raised to the power of zero equals 1: a^0 = 1.

Tags

CCSS.8.EE.A.1