Evaluate 44- 4-3- 42- 4-5

The correct option is D 1/16 Given nbsp;4^4 × 4^ 3 × 4^2 × 4^ 5 nbsp; nbsp; nbsp; nbsp; nbsp; nbsp;=4^(4 3 + 2 5) nbsp; nbsp; ...

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Byju's Answer

Standard VIII

Mathematics

Powers with like Bases

Evaluate 44× ...

Question

Evaluate $4^{4} \times 4^{- 3} \times 4^{2} \times 4^{- 5}$

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$\frac{1}{16}$

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$\frac{1}{4}$

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Solution

The correct option is C
$\frac{1}{16}$

Given $4^{4} \times 4^{- 3} \times 4^{2} \times 4^{- 5}$

$= 4^{(4 - 3 + 2 - 5)}$

$= 4^{- 2}$

$= \frac{1}{4^{2}}$

$= \frac{1}{16}$

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Similar questions

Evaluate :
$(i) \frac{2}{3} - \frac{4}{5} (i i) \frac{- 4}{9} - \frac{2}{- 3} (i i i) - 1 - \frac{4}{9} (i v) \frac{- 2}{7} - \frac{3}{- 14} (v) \frac{- 5}{18} - \frac{- 2}{9} (v i) \frac{5}{21} - \frac{- 13}{42}$

Q. Evaluate (i) (3

^{0} + 2^{- 1}

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\times

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(ii) (2

^{- 1} \times 4^{- 2}) \div 2^{- 3}

(iii)

(\frac{5}{8})^{7} \times (\frac{8}{5})^{- 5}

Q. The value of

- (\frac{4}{5} + \frac{4^{2}}{5^{2} .2} + \frac{4^{3}}{5^{3} .3} + \frac{4^{4}}{5^{4} .4} + \dots \infty)

Evaluate: $4^{- 2}$ + $4^{- 1}$ + $4^{0}$ + $4^{2}$

Q. Evaluate:

\sqrt{1 \frac{4}{5} \times 14 \frac{21}{44} \times 2 \frac{7}{55}}

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Evaluate 44 × 4−3 × 42 × 4−5

The correct option is C 116 Given 44 × 4−3 × 42 × 4−5 =4(4−3+2−5) =4−2 =142 =116

Evaluate $4^{4} \times 4^{- 3} \times 4^{2} \times 4^{- 5}$

The correct option is C
$\frac{1}{16}$

Given $4^{4} \times 4^{- 3} \times 4^{2} \times 4^{- 5}$

$= 4^{(4 - 3 + 2 - 5)}$

$= 4^{- 2}$

$= \frac{1}{4^{2}}$

$= \frac{1}{16}$