Solve Equations with Variable Exponents

Complete the sentence for Solving Exponential Equations:

If the bases are the same...

• the exponents are not equal

• the exponents can change

• the exponents

  are equal

Solve: 6^-2

• 12
• -36
• 1/36
• 36

• -12

To solve 36 = 6^x, re-write 36 as what base and exponent?

• 3⁶
• 6³
• 6²
• 3¹²

Solve for n:
2^-2n = 2⁶

• -1
• -7
• 5
• -3

• Multiply the exponents

• Set the exponents equal to each other

• Add the exponents

Solve 8 = 2^5x+7

• ⅘
• ¼
• -⅘
• -¼

Solve for p:
4^p+2 = 64

• -16/9
• 1
• 8
• 7/6

• 7
• -1/4
• 1/2
• 1/3