Adding and Subtracting Same Base with Exponents

In what types of problems do you have to make sure the exponents are the same before beginning to compute?

• Adding and Subtracting

• Multiplying and Dividing

• Subtracting and Dividing

• Adding and Multiplying

The power of a product property combines exponents with the same base by ____________ the exponents.

• Adding

• Subtracting

• Multiplying

• Dividing

The quotient of a power property combines exponents with the same base by ____________ the exponents.

• Adding

• Subtracting

• Multiplying

• Dividing

When two exponents with the same base are multiplied, simplify by

• adding the powers

• multiplying the powers

• distributing the power

• subtracting the powers

When two exponents with the same base are divided, simplify by

• adding the powers

• multiplying the powers

• distributing the power

• subtracting the powers

Simplify each expression. 
(6x + 4x⁴ - 3x²) + (7x⁴ + 5x² + 8x)

• 11x⁴  + 2x² + 14x

• 16x⁴  + x² + 14x

• 11x⁴  + x² + 14x

• 11x⁴  + 2x² + 10x

When we multiply exponents with the same base we _______ the exponents.

• add

• subtract

• multiply

• divide

We change coefficients when adding or subtracting numbers with the same base AND same index:
\(b^5+b^5=2b^5\) 
\(b^5-b^5=0b^5=0\) 

• True

• False

• Sometimes