Exponent Rules, Product and Quotient of Power, Negative and Zero

Answer explanation

Simplify the following:

3x² ⋅ 2x⁴ = 6x⁶

When multiplying exponents with the same base:

-Multiply the coefficients

-ADD the exponents

• 1

Answer explanation

Simplify the following:

x⁵ ⋅ x^-5 = x^{5 + -5} = x⁰ = 1

Anything to the power of 0 equals 1

Answer explanation

Simplify the following:

(c⁵)(c³)(c³)

This is just the product rule, keep the base and ADD the exponents.

c⁵⁺³⁺³ = c¹¹

• -8

• 16

• -16

• 8

Answer explanation

Simplify the following:

 (-4)²

Means (-4)(-4) = 16

• 7

• 1

• simplified

• 7p

Answer explanation

Simplify the following:

7p⁰

p⁰ = 1

So...7(1) = 7

• Can't be simplified

• xy²

• xy⁴