Laws of Exponents

Front

What is the rule for negative exponents?

Back

A negative exponent indicates that the base should be taken as the reciprocal. For example, a^(-n) = 1/(a^n).

Tags

CCSS.8.EE.A.1

Front

How do you simplify (x^3)(x^2)?

Back

You add the exponents: x^(3+2) = x^5.

Tags

CCSS.8.EE.A.1

Front

How do you express 5⋅5⋅5⋅5⋅5⋅5⋅5 using exponents?

Back

It can be written as 5^7.

Tags

CCSS.6.EE.A.1

Front

What is the result of multiplying 10^1 and 10^-2?

Back

10^(1 + (-2)) = 10^(-1) = 1/10.

Tags

CCSS.8.EE.A.1

Front

When multiplying two powers with the same base, what do you do with the exponents?

Back

You add the exponents.

Tags

CCSS.8.EE.A.1

Front

What is the rule for zero exponents?

Back

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

Tags

CCSS.8.EE.A.1

Front

How do you simplify (a^m)(a^n)?

Back

You add the exponents: a^(m+n).

Tags

CCSS.8.EE.A.1

Front

What is the result of (x^4)/(x^2)?

Back

You subtract the exponents: x^(4-2) = x^2.

Tags

CCSS.8.EE.A.1

Front

What does a fractional exponent represent?

Back

A fractional exponent represents a root: a^(1/n) = n√a.

Tags

CCSS.HSN.RN.A.2

Front

How do you express (2^3)^4?

Back

You multiply the exponents: 2^(3*4) = 2^12.

Tags

CCSS.8.EE.A.1