Find the value of -m- if 46- 56-20 mA- 12B- 1C- 6D- 36

The correct option is C 6By the Laws of Exponents, we know that a^m × b^m=(ab)^m ⇒4^6× 5^6=20^6 So, the value of m=6 ...

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Standard VII

Mathematics

Exponent of a Product

Find the valu...

Question

Find the value of 'm', if $4^{6} \times 5^{6} = 20^{m}$

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Solution

The correct option is C 6
By the Laws of Exponents, we know that $a^{m} \times b^{m} = (a b)^{m}$
$\Rightarrow$ $4^{6} \times 5^{6} = 20^{6}$
So, the value of m=6

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Find the value of 'm', if 46×56=20m

The correct option is C 6By the Laws of Exponents, we know that am×bm=(ab)m ⇒46×56=206 So, the value of m=6

Find the value of 'm', if $4^{6} \times 5^{6} = 20^{m}$

The correct option is C 6
By the Laws of Exponents, we know that $a^{m} \times b^{m} = (a b)^{m}$
$\Rightarrow$ $4^{6} \times 5^{6} = 20^{6}$
So, the value of m=6