Question
Simplify and express the result in power notation with positive exponent. $2^{-3}× (– 7)^{-3}$
✓
Answer
$2^{-3}× (– 7)^{-3}$
$ = \frac{1}{{{2^3}}} \times \frac{1}{{{{( - 7)}^3}}}$
$ = \frac{1}{{{{\left[ {2 \times ( - 7)} \right]}^3}}}$
$ = \frac{1}{{{{( - 14)}^3}}}$
$ = \frac{1}{{{2^3}}} \times \frac{1}{{{{( - 7)}^3}}}$
$ = \frac{1}{{{{\left[ {2 \times ( - 7)} \right]}^3}}}$
$ = \frac{1}{{{{( - 14)}^3}}}$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Evaluate:$\sqrt{10.0489}$
→Factorize: $x^4y^2- x^2y^4- x^4y^4$ is $x^2y^2$
→If $123123A4$ is divisible by $11$, find the value of $A$.
→Find the smallest number by which each of the following number must be divided to obtain a perfect cube :
81
81
Using the formula $(a + b)^2= (a^2+ 2ab + b^2),$ evaluate:
$(508)^2$
→$(508)^2$
Find all possible values of $x$ for which the number $7x3$ is divisible by $3,$ Also find each such number.
→Using the method of successive subtraction examine whether or not the following numbers are perfect cubes:
$345$
→$345$
Find the $\angle$ measure $x$ in the below figure.
→Expand the following, using suitable identities.
$ \left(x^2 y-x y^2\right)^2 $
→$ \left(x^2 y-x y^2\right)^2 $
Draw a pie chart showing the following Information. The table shows the colours preferred by a group of people.
| Colours | Number of people |
| Blue | 18 |
| Green | 9 |
| Red | 6 |
| Yellow | 3 |
| Total | 36 |