Powers Rule

What is the exponential form of 
4 x 4 x 4 x 4 x 4 x 4

• 6⁴

• 4²

• 4⁶

• 4 x 6

Which number is the BASE?
2³ = 8

• 2

• 3

• 8

Which number is the EXPONENT?
4^{2 =} 16

• 4

• 2

• 16

(-2)³⋅(-2)⁶

• (-2)⁹

• (-2)¹⁸

• (-2)⁻³

• (-2)

Simplify the expression x⁵x⁷

• x³⁵

• x¹²

• x²

• x^-2

The Product of Powers Property states:

• to multiply powers with the same base, multiply their exponents

• to multiply powers with the same base, add their exponents

• to multiply powers with different bases, multiply their exponents

• to multiply powers with different bases, add their exponents

The Power of a Power Property states:

• To find the power of a power, multiply the base by the exponent.

• To find the power of a power, add the exponents.

• To find the power of a power, multiply the exponents.

• To find the power of a power, add the base to the exponent.

The Power of a Product Property states:

• To find a power of a product, find the power of each factor (distribute) then multiply.

• To find the power of a product, add the factors and multiply by the exponent.

• To find the power of a product, put the factors in parentheses, then multiply by the exponent.

• To find the power of a product, multiply all factors together, then add the exponent.

In order to multiply powers with the same base, we add their exponents. 

• True 

• False

Simplify the expression: 
c⁴⋅c³=

• ^c12

• c⁴⁺³

• c⁷