257-5 - 52-5 - 1251-5 - 5-

The correct option is C 13 (25)^7.5× (5)^2.5÷ (125)^1.5 = 5^x ⇒5^(2× 7.5)× 5^2.55^(3× 1.5) = 5^x ⇒ #160; 5^15× 5^2.55^4.5 = 5^x ⇒ 5^ ...

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Byju's Answer

Standard VII

Mathematics

Introduction

257.5 × 52.5 ...

Question

$(25)^{7.5} \times (5)^{2.5} \div (125)^{1.5} = 5^{?}$

8.5

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13

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16

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17.5

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Solution

The correct option is C $13$
$(25)^{7.5} \times (5)^{2.5} \div (125)^{1.5} = 5^{x}$

$\Rightarrow \frac{5^{(2 \times 7.5)} \times 5^{2.5}}{5^{(3 \times 1.5)}} = 5^{x}$

$\Rightarrow \frac{5^{15} \times 5^{2.5}}{5^{4.5}} = 5^{x}$

$\Rightarrow 5^{x} = 5^{(15 + 2.5 - 4.5)} = (5)^{13}$

$\Rightarrow x = 13$

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(25)7.5×(5)2.5÷(125)1.5=5?

The correct option is C 13(25)7.5×(5)2.5÷(125)1.5=5x⇒5(2×7.5)×52.55(3×1.5)=5x⇒515×52.554.5=5x⇒5x=5(15+2.5−4.5)=(5)13⇒x=13

$(25)^{7.5} \times (5)^{2.5} \div (125)^{1.5} = 5^{?}$