Maths / Exponents and Power / Statement Sums Involving Exponent and Power

QUESTION

What should be multiplied to  $\dpi{120} \fn_jvn \large 2^4\;X\;3^2\;X\;5^2$  so that the product is equal to 21600 ?

EXPLANATION
Explain TypeExplanation Content
Text

$21600=(216)(100)$

$= (2^3*3^3)(2^2*5^2)=2^3^+^2*3^3*5^2$

$= 2^5*3^3*5^2$

$21600=2^5*3^3*5^2$

$=(2^4*3^2*5^2)(2*3)$

$=(2^4*3^2*5^2)(6)$

The required number = 6

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