Test Review of Exponent Laws

Product of Powers

100

C³ * C³

C⁶

200

x³ * x⁵ * x^-2

x ⁶

300

x^-6y^-2 * x⁵y^-3

x^-1y^-5

400

a^-8 * a⁶

a^-2

500

7x³y * 3xy²

21x⁴y³

Quotient of Powers

100

(y^3)/(y^2)

y

200

(3x^5)/(x^3)

2x^2

300

(c^7)/c^10

c^-3

400

x^7/x^-3

x^10

500

(x^-3y^2)/(xy^-4)

y^6/x^4

Power of a Power

100

(c²)³

C⁶

200

(y^-1)^-3

y³

300

(3x³)² - don't forget to square the 3, too.

9x⁶

400

(x³)^-2

x^-6

500

Simplify this expression --> ((x^-1)^-3)^-5

x^-15

Name That Law!

100

Anything to the power of zero equals 1

Zero exponent law

200

Anything to the power of 1 is itself.

Identity Exponent Law

300

When we divide two exponential expressions with the same base, we can just subtract the exponents

Quotient Law

400

A power raised to another power can simply be multiplied

Power of a Power Law

500

What laws would be used to simplify this exponential expression? Must get all three names. --> (y⁸ * y³ )/y⁰

Product law, quotient law, zero exponent law

Negative Exponent Law

100

What fraction is equal to 3^-2? Answer without exponents/fully evaluate.

1/9

200

What fraction is equal to 10^-5? Answer without exponents/fully evaluate.

1/100,000

300

What fraction is equal to 5^-3? Answer without exponents/fully evaluate.

1/125

400

What fraction is equal to 8^-1? Answer without exponents/fully evaluate.

1/8

500

Change the fraction 1/16 to an exponential expression with a negative exponent.

Possible right answers include:

A) 4^-2

B) 2^-4