Problem 8
Question
Use the quotient of powers property to simplify the expression. $$ \frac{a^{5}}{a^{2}} $$
Step-by-Step Solution
Verified Answer
The simplified form of \( \frac{a^{5}}{a^{2}} \) using the quotient of powers property is \(a^{3}\).
1Step 1: Apply the Quotient of Powers Property
We have received the expression \( \frac{a^{5}}{a^{2}} \), which can be rewritten in the format that we need by utilizing the quotient of powers property, as \(a^{5-2}\).
2Step 2: Perform the Subtraction
Continue by performing the subtraction operation in the exponent. So, the revised format would be \(a^{3}\).
Other exercises in this chapter
Problem 8
Identify the initial amount and the growth rate in the exponential function. $$y=12(1+2)^{t}$$
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Write the number in scientific notation. $$ 15 $$
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Tell whether the graph of the function contains the point \((0,1) .\) Explain your answer. $$y=5^{x}$$
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Use the power of a power property to write the expression as a single power of the base. \(\left(4^{3}\right)^{3}\)
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