Choose the correct word-answer and fill in the blanks -24-54 - -2-54-2-54-4-

By the properties of exponent, we know that (a^x/b^x) = (a/b)^xBy using the above property (2^4/5^4) = (2/5)^4Hence, the correct answer is (2/5)^4. ...

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Standard VII

Mathematics

Product Law of Exponent

Choose the co...

Question

Choose the correct word/answer and fill in the blanks :
$\frac{2^{4}}{5^{4}} =_______[{(\frac{2}{5})}^{4} / {(\frac{2}{5})}^{4 - 4}]$

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Solution

By the properties of exponent, we know that -
$(\frac{a^{x}}{b^{x}}) = {(\frac{a}{b})}^{x}$
By using the above property -
$(\frac{2^{4}}{5^{4}}) = {(\frac{2}{5})}^{4}$
Hence, the correct answer is ${(\frac{2}{5})}^{4}$ .

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Choose the correct word/answer and fill in the blanks :2454=_______254/254-4

By the properties of exponent, we know that -axbx=abxBy using the above property -2454=254Hence, the correct answer is 254.

Choose the correct word/answer and fill in the blanks :
$\frac{2^{4}}{5^{4}} =_______[{(\frac{2}{5})}^{4} / {(\frac{2}{5})}^{4 - 4}]$

By the properties of exponent, we know that -
$(\frac{a^{x}}{b^{x}}) = {(\frac{a}{b})}^{x}$
By using the above property -
$(\frac{2^{4}}{5^{4}}) = {(\frac{2}{5})}^{4}$
Hence, the correct answer is ${(\frac{2}{5})}^{4}$ .