Question

Find the value of $(-3{)}^6\times [(-3{)}^{12}÷(-3{)}^{15}]$

• A. $27$
• B. $\frac{1}{27}$
• C. $-\frac{1}{27}$
• D. $-27$

Answer 1

The correct option is D $-27$

$(-3{)}^6\times [(-3{)}^{12}÷(-3{)}^{15}]$

$=(-3{)}^6\times \left[\frac{(-3{)}^{12}}{(-3{)}^{15}}\right]$

$=(-3{)}^6\times [(-3{)}^{12-15}]$

$=(-3{)}^6\times (-3{)}^{-3}$

$=(-3{)}^{6-3}$ $=(-3{)}^3$ $=-27$

So, option $D$ is correct.