Simplify- 220- 215 - 23

By the rule of dividing the powers with same base nbsp;:(a^m ÷ a^n) = a^(m n) (2^20÷ 2^15) can be simplified as, = 2^20 15 = 2^5 Then, By the rule of multipl ...

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Standard VIII

Mathematics

Expanding a Rational Number Using Powers

Simplify: 220...

Question

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

2^{8}

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2^{15}

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2^{4}

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2^{2}

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Solution

The correct option is A $2^{8}$
By the rule of dividing the powers with same base : $(a^{m} \div a^{n}) = a^{(m - n)}$
$(2^{20} \div 2^{15})$ can be simplified as,
$= 2^{20 - 15}$
$= 2^{5}$
Then,
By the rule of multiplying the powers with same base : $(a^{m} \times a^{n}) = a^{m + n}$
$2^{5} \times 2^{3}$ can be simplified as,
$= 2^{(5 + 3)}$
$= 2^{8}$

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Similar questions

Q. simplify:

(\frac{2^{20}}{2^{15}}) \times 2^{3}

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

Q. Question 1(ix)
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(2^{20} \div 2^{15}) \times 2^{3}

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

Simplify: $7 \frac{1}{3} \div \frac{2}{3} of 2 \frac{1}{5} + 1 \frac{3}{8} \div 2 \frac{3}{4} - 1 \frac{1}{2}$

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Simplify: (220÷215)×23

The correct option is A 28By the rule of dividing the powers with same base :(am÷an)=a(m−n) (220÷215) can be simplified as, =220−15 =25 Then, By the rule of multiplying the powers with same base : (am×an)=am+n 25×23 can be simplified as, =2(5+3) =28

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