Question

(2²⁰ ÷ 2¹⁵) × 2³ =
using law of exponents , simplify and write the answer in exponential form ​

Answer 1

Answer:

step by step explaination

(2^20÷2^15)×2^3

2^5×2^3

2^5+3

2^8

256

Answer 2

Answer:

256

Step-by-step explanation:

$\Rightarrow (2^{20} \div 2^{15}) \times 2^3$

$\Rightarrow \frac{2^{20}}{2^{15}} \times 2^3$

$\Rightarrow 2^{20-15} \times 8\:\:\:\:\:\:\:\:\:\:(\because \frac{a^m}{a^n }=a^{m-n})$

$\Rightarrow 2^5 \times 8$

$\Rightarrow 32 \times 8$

$\Rightarrow 256$

$\boxed{\therefore(2^{20}\div2^{15})\times2^3 = 256}$

Note:

$2^3 = 8$

$2^5 = 32$

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