The correct option is D 5^ 4We know that 1/2 can be written as: 1/2=2^ 1 Similarly, 1/2×1/2×1/2= 2^ 3 In the expression given above, 1/5 is multiplied by itsel ...

1/5×1/5×1/5×1...

Question

$\frac{1}{5} \times \frac{1}{5} \times \frac{1}{5} \times \frac{1}{5} = ?$

(\frac{1}{5})^{- 4}

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(\frac{1}{5})^{- 6}

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5^{- 4}

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5^{- 6}

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Solution

The correct option is D $5^{- 4}$
We know that $\frac{1}{2}$ can be written as:
$\frac{1}{2} = 2^{- 1}$
Similarly, $\frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} = 2^{- 3}$
In the expression given above, $\frac{1}{5}$ is multiplied by itself 5 times.
Hence, $\frac{1}{5} \times \frac{1}{5} \times \frac{1}{5} \times \frac{1}{5} = 5^{- 4}$

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Similar questions

Q. What is the value of

\frac{1}{5} \div \frac{1}{5} \div \frac{1}{5} \div \frac{1}{5} \div \frac{1}{5} \div 5 \div 5 \div 5

Factorize the expression: $1 - 25 (a + b)^{2}$

\frac{1}{5} \times \frac{1}{5} \times \frac{1}{5} \times \frac{1}{5}

can be written as

Q. Given are the steps to simplify the following expression:
[-

\frac{1}{5}

× -

\frac{1}{3}

] × (-5) ×

\frac{5}{2}

Step 1: (-5) × [-

\frac{1}{5}

× -

\frac{1}{3}

] ×

\frac{5}{2}

Step 2: [-5 ×

- \frac{1}{5}

] × (-

\frac{1}{3}

) × (

\frac{5}{2}

)

Step 3: 1 × (-

\frac{1}{3}

) × (

\frac{5}{2}

)

Identify the steps representing the right properties from the following:

√5+1/√5-1+√5-1/√5+1

Please solve with reason...

15×15×15×15=?

The correct option is D 5−4We know that 12 can be written as: 12=2−1 Similarly, 12×12×12=2−3 In the expression given above, 15 is multiplied by itself 5 times. Hence, 15×15×15×15=5−4

$\frac{1}{5} \times \frac{1}{5} \times \frac{1}{5} \times \frac{1}{5} = ?$