Solve

Guides

0

You visited us 0 times! Enjoying our articles? Unlock Full Access!

Applied Mathematics

Question

Simplify:
$$(3^2 -2^2)\times \left (\dfrac {2}{3}\right)^{-3}$$
If the answer is $$\dfrac {135}{a}$$, then what is the value of $$a.$$

A

8

Open in App

Solution

Verified by Toppr

Correct option is A. 8

Was this answer helpful?

2

Similar Questions

Q1

Simplify:

2^{2} \times \frac{3^{2}}{2^{- 2}} \times 3^{- 1}

View Solution

Q2

Simplify:

\frac{{(3 \frac{2}{3})}^{2} - {(2 \frac{1}{2})}^{2}}{{(4 \frac{3}{4})}^{2} - {(3 \frac{1}{3})}^{2}} \div \frac{3 \frac{2}{3} - 2 \frac{1}{2}}{4 \frac{3}{4} - 3 \frac{1}{3}}

View Solution

Q3

Simplify:
(i)

(3^{2} + 2^{2}) \times {(\frac{1}{2})}^{3}

(ii)

(3^{2} - 2^{2}) \times {(\frac{2}{3})}^{- 3}

(iii)

\"[\"{(\frac{1}{3})}^{- 3} - {(\frac{1}{2})}^{- 3}\"]\" \div {(\frac{1}{4})}^{- 3}

(iv)

(2^{2} + 3^{2} - 4^{2}) \div {(\frac{3}{2})}^{2}

View Solution

Q4

Simplify

(3 + \sqrt{3}) {(2 + \sqrt{2})}^{2}

.

View Solution

Q5

Simplify;

(3 + \sqrt{3}) {(2 + \sqrt{2})}^{2}

View Solution