Simplify- 4-5 -5- 53-43 -3

The correct option is B ( 4/5 )^4 ( 4/5 )^ 5× ( 5^3/4^3 )^ 3 = ( 4/5 )^ 5× ( 5^3/4^3 )^3 =4^ 5/5^ 5×4^9/5^9 =4^ 5+9/5^ 5+9 =4^4/5 ...

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Byju's Answer

Standard VII

Mathematics

Exponents

Simplify: 4...

Question

Simplify: ${(\frac{4}{5})}^{- 5} \times {(\frac{5^{3}}{4^{3}})}^{- 3}$

{(\frac{4}{5})}^{8}

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{(\frac{4}{5})}^{4}

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{(\frac{5}{4})}^{4}

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{(\frac{4}{5})}^{- 14}

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Solution

The correct option is B ${(\frac{4}{5})}^{4}$
${(\frac{4}{5})}^{- 5} \times {(\frac{5^{3}}{4^{3}})}^{- 3}$
$= {(\frac{4}{5})}^{- 5} \times {(\frac{5^{3}}{4^{3}})}^{3}$
$= \frac{4^{- 5}}{5^{- 5}} \times \frac{4^{9}}{5^{9}}$
$= \frac{4^{- 5 + 9}}{5^{- 5 + 9}}$
$= \frac{4^{4}}{5^{4}}$
$= {(\frac{4}{5})}^{4}$
Hence, option $B$ is correct.

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Similar questions

Q. Simplify:

{(\frac{5}{8})}^{- 3} \times {(\frac{4}{5})}^{- 3} \div {(\frac{4}{5})}^{3}

Q. Simplify the following:

(\frac{5^{- 4}}{5^{- 6}}) \times 5^{3}

Q. Simplify:

(\frac{4 + \sqrt{5}}{4 - \sqrt{5}} + \frac{4 - \sqrt{5}}{4 + \sqrt{5}})

Question 14

Which of the following is not equal to ${(\frac{- 5}{4})}^{4}$ ?
(a) $\frac{(- 5)^{4}}{4^{4}}$
(b) $\frac{5^{4}}{(- 4)^{4}}$
(c) $- \frac{5^{4}}{4^{4}}$
(d) $(- \frac{5}{4}) \times (- \frac{5}{4}) \times (- \frac{5}{4}) \times (- \frac{5}{4})$

Simplify

$4 \frac{4}{5} \div \frac{3}{5}$ of $5 + \frac{4}{5} \times \frac{3}{10} - \frac{1}{5}$

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Simplify: (45)−5×(5343)−3

The correct option is B (45)4(45)−5×(5343)−3=(45)−5×(5343)3=4−55−5×4959=4−5+95−5+9=4454=(45)4Hence, option B is correct.

Simplify: ${(\frac{4}{5})}^{- 5} \times {(\frac{5^{3}}{4^{3}})}^{- 3}$