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Chapter 8: Problem 5

Use the quotient of powers property to simplify the expression. $$ \frac{a^{12}}{a^{9}} $$

Short Answer

Expert verified
The simplified form of \(a^{12}/a^{9}\) is \(a^3\)

Step by step solution

01

Identify the Exponents

Here, in the expression \(a^{12}/a^{9}\), 'm' is 12 and 'n' is 9.
02

Apply the Quotient of Powers Property

Using the property, subtract the exponent of the denominator from the exponent of the numerator. The new expression is \(a^{12-9}\) .
03

Simplify the Expression

Subtract the exponents to simplify further. So, \(a^{12-9} = a^3\)

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Most popular questions from this chapter

Use substitution to solve the system. $$\begin{aligned}&-3 x+y=4\\\&-9 x+5 y=10\end{aligned}$$

Complete the statement using \(>\) or \(<\). $$5^{2} \cdot 3^{6} \underline{?}(5 \cdot 3)^{6}$$

Decide whether the ordered pair is a solution of the system. $$ \begin{aligned} &x-5 y=9\\\ &3 x+y=11 \quad(1,-4) \end{aligned} $$

Then evaluate the expression when \(a=1\) and \(b=2\). $$ \left(a^{3}\right)^{2} $$

Write your answer as a power or as a product of powers. $$ -(3 x)^{2} \cdot\left(7 x^{4}\right)^{2} $$
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