Evaluate -53 -2-53 -14-53 -16-53 -16-53 -16-53 -16

The correct option is B (53 )^ 16Given, (53 )^ 2×(53 )^ 14 Using law of exponents, a^m × a^n = (a)^m+n, (53 )^ 2×(53 )^ 14 nbsp; = (53 )^ 2 14 =(53 )^ 16 ...

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Standard VIII

Mathematics

Constants and Variables

Evaluate (53 ...

Question

Evaluate
${(53)}^{- 2} \times {(53)}^{- 14}$

{(53)}^{- 16}

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{(53)}^{16}

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{(- 53)}^{16}

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{(- 5 3)}^{- 16}

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Solution

The correct option is A ${(53)}^{- 16}$
$Given, {(53)}^{- 2} \times {(53)}^{- 14}$

Using law of exponents, $a^{m} \times a^{n} = (a)^{m + n}$ ,

${(53)}^{- 2} \times {(53)}^{- 14}$

$= {(53)}^{- 2 - 14}$

$= {(53)}^{- 16}$

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Similar questions

Verify whether the given statement is true or false :

(i) $(\frac{5}{9} \div \frac{1}{3}) \div \frac{5}{2} = \frac{5}{9} \div (\frac{1}{3} \div \frac{5}{2})$

(ii) ${(- 16) \div \frac{6}{5}} \div \frac{- 9}{10} = (- 16) \div {\frac{6}{5} \div \frac{- 9}{10}}$

(iii) $(\frac{- 3}{5} \div \frac{- 12}{35}) \div \frac{1}{14} = \frac{- 3}{5} \div (\frac{- 12}{35} \div \frac{1}{14})$

Q. Evaluate

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Q. Using the appropriate properties of operations of rational numbers, evaluate the following:
a) 8/9*4/5+5/6 - 9/5*8/9
b) 2/5*(-3/7) - 1/6*3/2 + 1/14*2/5
c) (-4/5)*3/7*15/16*(-14/9)

Q. Evaluate

{(53)}^{- 2} \times {(53)}^{- 14}

Q. Evaluate

{log}_{3} 2 {log}_{4} 3 {log}_{5} 4..... {log}_{15} 14 {log}_{16} 15

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Evaluate (53)−2×(53)−14

The correct option is A (53)−16Given, (53)−2×(53)−14 Using law of exponents, am×an=(a)m+n, (53)−2×(53)−14 =(53)−2−14 =(53)−16

Evaluate
${(53)}^{- 2} \times {(53)}^{- 14}$

The correct option is A ${(53)}^{- 16}$
$Given, {(53)}^{- 2} \times {(53)}^{- 14}$

Using law of exponents, $a^{m} \times a^{n} = (a)^{m + n}$ ,

${(53)}^{- 2} \times {(53)}^{- 14}$

$= {(53)}^{- 2 - 14}$

$= {(53)}^{- 16}$