Find the value of 53 - 23-

The correct options are A 10^3 D 1000 Here the nbsp; two terms nbsp; nbsp;5^3 nbsp;and 2^3 nbsp;have different bases, but same exponents. 5^3 × 2^3= ...

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Byju's Answer

Standard VII

Mathematics

Exponent Numbers with Different Base and Same Power

Find the valu...

Question

Find the value of $5^{3} \times 2^{3}$ .

$10^{3}$

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1000

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Solution

The correct options are
A
$10^{3}$

D
1000

Here the two terms $5^{3}$ and $2^{3}$ have different bases, but same exponents.

$5^{3} \times 2^{3} = (5 \times 5 \times 5) \times (2 \times 2 \times 2)$
$= (5 \times 2) \times (5 \times 2) \times (5 \times 2)$
$= (5 \times 2)^{3}$
$= 10^{3} = 1000$
or
$5^{3} \times 2^{3} = (5 \times 2)^{3} = 10^{3} = 1000$

Suggest Corrections

Find the value of 53×23.

The correct options are A 103 D 1000 Here the two terms 53 and 23 have different bases, but same exponents. 53×23=(5×5×5)×(2×2×2) =(5×2)×(5×2)×(5×2) =(5×2)3 =103=1000 or 53×23=(5×2)3=103=1000

Find the value of $5^{3} \times 2^{3}$ .