Zero and Negative Exponents

Front

What is the value of x^{-2} in terms of positive exponents?

Back

x^{-2} = \frac{1}{x^2}

Tags

CCSS.8.EE.A.1

Front

How do you rewrite 6y^{-2}z^2 using positive exponents?

Back

6y^{-2}z^2 = \frac{6z^2}{y^2}

Tags

CCSS.8.EE.A.1

Front

What is the simplified form of \frac{1}{x^{-2}}?

Back

\frac{1}{x^{-2}} = x^2

Tags

CCSS.8.EE.A.1

Front

Rewrite 7^{-10} using a positive exponent.

Back

7^{-10} = \frac{1}{7^{10}}

Tags

CCSS.8.EE.A.1

Front

What is the simplified form of \frac{7b^3}{a^5}?

Back

\frac{7b^3}{a^5} is already in its simplest form.

Tags

CCSS.6.EE.A.1

Front

What does a negative exponent indicate about a number?

Back

A negative exponent indicates that the base should be taken as the reciprocal raised to the absolute value of the exponent.

Tags

CCSS.8.EE.A.1

Front

How do you convert a negative exponent to a positive exponent?

Back

To convert a negative exponent to a positive exponent, take the reciprocal of the base and change the sign of the exponent.

Tags

CCSS.8.EE.A.1

Front

What is the result of x^0 for any non-zero x?

Back

x^0 = 1 for any non-zero x.

Tags

CCSS.8.EE.A.1

Front

If a^m * a^n = a^{m+n}, what happens when one of the exponents is negative?

Back

If one of the exponents is negative, it indicates division: a^m * a^{-n} = \frac{a^m}{a^n}.

Tags

CCSS.8.EE.A.1

Front

How do you simplify expressions with both positive and negative exponents?

Back

Combine like bases by adding or subtracting the exponents, remembering that negative exponents indicate division.

Tags

CCSS.8.EE.A.1