Question

Express the following in $(a*b)^{m}=a^{m}*b^{m}:(4*5)^{2}$

Answer 1

Answer :

400

Step-by-step explanation :

Identity given :

( a * b )ⁿ = aⁿ * bⁿ

Here,

( 4 * 5 )²

⇒ ( 4 )² * ( 5 )²

⇒ 16 * 25

⇒ 400

Hence, the answer is 400.

Answer 2

Here's the answer

Your Question => Express the following in $(a*b)^{m}=a^{m}*b^{m}:(4*5)^{2}$

Step-by-step explanation :

As per the identity,
$\sf{(a \times \: b)^{m}=a^{m} \times \: b^{m}}$

We can express the given as :

$\sf{(4 \times 5) {}^{2} = 4 {}^{2} \times {5}^{2} }$

$\sf{ = 16 \times 25}$

${\underline {\underline {\sf{ = 400}}}}$

Thus,

Answer is 400.

Thanks!