Solving Exponents with Like Bases

• Multiply the exponents

• Set the exponents equal to each other

• Add the exponents

Solve for w.

• w= -9

• w= -3

• w= 9/7

• w= 3

Rewrite 64 as a power of 2:

To solve an exponential equation, the _______ must be the same!

Simplify

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• 
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• 

6⋅6⁷

• 6⁸

• 6⁶

• 6⁷

• 6

n²⋅n⁴⋅n⁵

• n¹¹

• n⁴⁰

• n¹³

• n²²

Simplify.

• y^-4

• ¹/_y¹⁶

• y^-16

• y⁴

Simplify the exponential expression.

• 2x⁶y¹²

• 2x⁵y⁷

• 8x⁶y¹²

• 8x⁵y⁷

Simplify the exponential expression:

• 10x^-2

• 2x²

• 2x¹²

• 10x¹²