Question

On simplifying 8^3 × 2^4, we get​

Answer 1

(2)¹³= 8192

8³×2⁴

We can write 8 as 2³ also

so

(2³)³×2⁴

we know that (a^b)^c= (a)^b×c

so

{(2)³×³ }× 2⁴

(2)⁹ × 2⁴

we also know that if power's are same bases are added

Ans=

(2)⁹+⁴

(2)¹³

Ans (2)¹³=8192

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