Question

simplify and express the following 23 x k3 x 5k4​

Answer 1

SOLUTION

TO DETERMINE

To simplify and express the following

$\sf{ {2}^{3} \times {k}^{3} \times 5 {k}^{4} }$

FORMULA TO BE IMPLEMENTED

We are aware of the identity on indices that

$\sf{ {a}^{m} \times {a}^{n} = {a}^{m + n} }$

EVALUATION

$\sf{ {2}^{3} \times {k}^{3} \times 5 {k}^{4} }$

$= \sf{ 8 \times {k}^{3} \times 5 {k}^{4} }$

$= \sf{ 8 \times 5 \times {k}^{3} \times {k}^{4} }$

$= \sf{ 40 \times {k}^{3 + 4} }$

$= \sf{ 40 {k}^{7} }$

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