Warm Up Solution

Write the expression as one term.

Note

Have your Formula Sheet available to review the exponent rules as needed.

$4^{3 x} \cdot 4^{2 x - 1}$

$4^{3 x + 2 x - 1} 4^{5 x - 1}$

$25 \cdot 5^{x + 6}$

$5^{2} \cdot 5^{x + 6} 5^{2 + 5 x + 6} 5^{5 x + 8}$

Write the number as a single base raised to a power.

$9^{2} = 3^{4}$

$\frac{125}{64}$

${(\frac{5}{4})}^{3}$

Note

Q: Why is it important to know 81 can be represented in more than one way?
A: You might need to use a different base depending on the problem you need to solve.