2^4÷ 2^(2)^3 ⇒ This is equivalent to ⇒ #160; 2^4/2^8=2^4 8 #160; #160; #160; [x^a/x^b=x^a b] ⇒ 2^ 4=1/2^4=1/16 ...

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Byju's Answer

Standard IX

Mathematics

Product Law

24÷ 223?

Question

$(2^{4}) \div 2^{2^{3}} ?$

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Solution

$2^{4} \div 2^{(2)^{3}}$
$\Rightarrow$ This is equivalent to
$\Rightarrow \frac{2^{4}}{2^{8}} = 2^{4 - 8}$ $[\frac{x^{a}}{x^{b}} = x^{a - b}]$
$\Rightarrow 2^{- 4} = \frac{1}{2^{4}} = \frac{1}{16}$

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∣ ∣ ∣ ∣ ∣ \begin{matrix} s i n^{2} 23 & s i n^{2} 67 & c o s 180 s i n^{2} 67 & s i n^{2} 23 & c o s^{2} 180 c o s 180 & s i n^{2} 23 & s i n^{2} 67 \end{matrix} ∣ ∣ ∣ ∣ ∣

Simplify
(i) $2^{\frac{2}{3}} \times 2^{\frac{1}{3}}$
(ii) $2^{\frac{2}{3}} \times 2^{\frac{1}{5}}$
(iii) $7^{\frac{5}{6}} \times 7^{\frac{2}{3}}$
(iv) $(1296)^{\frac{1}{4}} \times (1296)^{\frac{1}{2}}$

Q. Simplify:

4 \frac{1}{3} - 2 \frac{2}{3}

Q. Simplify

\frac{(2^{2})^{3}}{(3^{2})^{2}}

\frac{y^{2}}{23}

– 3 = 0

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(24)÷223?

24÷2(2)3⇒ This is equivalent to⇒2428=24−8 [xaxb=xa−b]⇒2−4=124=116

$(2^{4}) \div 2^{2^{3}} ?$

$2^{4} \div 2^{(2)^{3}}$
$\Rightarrow$ This is equivalent to
$\Rightarrow \frac{2^{4}}{2^{8}} = 2^{4 - 8}$ $[\frac{x^{a}}{x^{b}} = x^{a - b}]$
$\Rightarrow 2^{- 4} = \frac{1}{2^{4}} = \frac{1}{16}$