Question

Simplify (i) 8
³ ×2
⁴​

Answer 1

Answer:

Step-by-step explanation:

8³ × 2⁴

(2³)³ × 2⁴

= 2^ 9 × 2⁴

= 2 ^ ( 9 + 4 )

= 2^13 Ans.

Answer 2

Answer:

${( {a}^{m} )}^{n} = {(a)}^{m \times n} \\ {a}^{m} \times {a}^{n} = {(a)}^{m + n}$

Step-by-step explanation:

${8}^{3} \times {2}^{4} \\ \\ = {( {2}^{3}) }^{3} \times {2}^{4} \\ \\ = {(2)}^{3 \times 3} \times {2}^{4} \\ \\ = {2}^{9} \times {2}^{4} \\ \\ = {(2)}^{9 + 4} \\ \\ = \underline{ \underline{ \bf {2}^{13} }}$