Question

Simplify and write in exponential form. Also state the laws.

(a) 2 to the power of 4 × 3 to the power of 4
(b) 7 to the power of 14 ×7 to the power of 10​

Answer 1

Step-by-step explanation:

$( \alpha ) {2}^{4} \times {3}^{4} \\ \sf \twoheadrightarrow (2 \times 3) {}^{4} \\ \sf \twoheadrightarrow {6}^{4} \\ ( \beta ) {7}^{14} \times {7}^{10} \\ \sf \twoheadrightarrow {7}^{14 + 10} \\ \sf \twoheadrightarrow {7}^{24}$