Question

Write the quotient in repeated multiplication form. Then write the quotient as a power 7⁹---7⁶The quotient as repeated multiplication is The quotient as a power is

Answer 1

Given the indicinal expression;

$\frac{7^9}{7^6}$

According to law of indices, when the base of the values are the same and they are dividing each other, we will subtract the power as shown;

$\text{Generally, }\frac{a^m}{a^n}=a^{m-n}$

Simplifying the question now;

$\begin{gathered} \frac{7^9}{7^6}=7^{9-6} \\ \frac{7^9}{7^6}=7^3 \\ \end{gathered}$

The quotient as repeated multiplication will be;

$7^3\text{ = 7}\times7\times7$

The quotient expresses as a power is;

$7^3$