Maths / Exponents and Power / Express in Exponential Form

QUESTION

Express in exponential form :  $\dpi{150} \large \frac{35^2X9^2X6^2}{14^2X25X3^2}$

 OPTIONS A. 81 B. 99 C. 55 D. 65
Right Option : A

EXPLANATION
Explain TypeExplanation Content
Text

$\dpi{150} \large \frac{35^2X9^2X6^2}{14^2X25X3^2}$

$\large =\frac{(5\times 7)^2X(3^2)^2X(3\times 2)6^2}{(7\times 2)^2X(5^2)X3^2}$

$\large =\frac{5^2 \times 7^2X3^4X3^2\times 2^2}{7^2 \times 2^2X5^2X3^2}$

Using Laws of exponents :

$\large =5^{2-2} \times 7^{2-2}X3^{4+2-2}X 2^{2-2}=81$

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