Question

Simplify: (4)^3×(4)^4 ÷ (4)^−2​

Answer 1

Answer:

$\underline{\purple{\ddot{\Mathsdude}}}$

Answered by Rohith kumar maths dude :-

4^3×4^3÷4^-2

=64× 256÷0.0625

=16384÷0.0625

=262,144.

Hope it helps u mate.

Thank you

Answer 2

Answer:

Given,

$\frac{ {4}^{3} \times {4}^{4} }{ {4}^{ - 2} } \\ = \frac{ {4}^{3 + 4} }{ \frac{1}{ {4}^{2} } } \\ = \frac{ {4}^{7} }{ \frac{1}{ {4}^{2} } } \\ = {4}^{7} \times {4}^{2} \\ = {4}^{7 + 2} \\ = {4}^{9} \\ = 262144$

Note :

$> {a}^{m} \times {a}^{m} = { a }^{m + n} \\ \\ > {a}^{ - n} = \frac{1}{ {a}^{n} }$