Exponents and Power Rules

Anything raised to a power of zero is always: 

• 0

• 1

• itself

• negative

(3⁴)(3⁷)

• 3²⁸

• 3³

• 3^-3

• 3¹¹

Billy was asked to solve 3⁵∙3⁴. He got 9²⁰. What error did he make?

• When he multiplies exponents, he is supposed to add the base and the exponent

• When he multiplies exponents, he is supposed to multiply the base and keep the exponents

• When he multiplies exponents, he is supposed to keep the base and add the exponents if the base is the same

• None of the above

Using exponents, simplify the following expression:

• 5^-15

• 5⁸

• 5^-8

• 5²

Simplify the following Expression using your laws of Exponents

• 2x2y

• x⁸y⁸

• x⁴y⁴

• x⁶y⁶

Simplify the following Expression using your laws of Exponents

• 8x⁷y⁷

• 2x⁷y⁷

• 2x¹²y¹²

• 8x¹²y¹²

Simplify the exponential expression.

• 2x⁶y¹²

• 2x⁵y⁷

• 8x⁶y¹²

• 8x⁵y⁷

Simplify:

• x⁶y⁴

• x²y⁴

• x⁸y⁴

• x⁸y

Simplify

• 16x^-6y¹⁴

• 16x⁰y⁹

• 16y⁹/x⁶

• (16y¹⁴)/x⁶

Simplify the following Expression using your laws of Exponents

• 8b⁸

• 2b⁸

• 2b¹⁶

• 16b⁸