Combine Bases Same Exponents

When different bases are multiplied together with the same exponents, you __________ the bases together.

• ADD

• SUBTRACT

• MULTIPLY

• DIVIDE

In order to simplify exponents, the bases have to be the same in order to combine variables using properties of exponents.

• True 

• False

How do you write 2 x 2 x 2 x 2 with an exponent?

• 4²

• 2⁴

• 2²

• 16

What is the definition of the PRODUCT OF POWERS PROPERTY?

• when more than two numbers are added or multiplied, the result remains the same, irrespective of how they are grouped.

• the values on which mathematical operations occur in an algebraic expression.

• when multiplying the bases of the same value, keep the base the same.

• the degree of an individual term of a polynomial is the exponent of its variable

When multiplying exponential terms with the same base, which best explains how to simplify the expression?

• Add the exponents.

• Subtract the exponents.

• Multiply the exponents.

• Divide the exponents.

According to exponent rules, when we multiply the same base we _______ the exponents.

• Multiply

• Add

• Divide

• Subtract

Write the exponent form of this expression: (x⋅x⋅x)⋅(x⋅x)

• 3x⋅2x

• 5x

• x⁵

Simplify the expression:

c⁴⋅c³=

• c¹²

• c¹

• c⁷

Simplify the expression: r⁶⋅r²⋅r³=

• r⁶²³

• r¹¹

• 11r

Simplify the following expression:

(x²)(x⁵)

• x⁷

• x¹⁰

• x²⁵

• x³