Question

100^100÷50^50=200^X find value of x

Answer 1

Answer:

$Value \: of \: x = 50$

Step-by-step explanation:

$\frac{100^{100}}{50^{50}}=200^{x}$

$\implies \frac{\left(100^{2}\right)^{50}}{50^{50}}=200^{x}$

$\implies \left(\frac{100^{2}}{50}\right)^{50}=200^{x}$

$\implies \left(\frac{100\times 100}{50}\right)^{50}=200^{x}$

$\implies \left(\frac{200}{50}\right)^{50}=200^{x}$

$\implies 50 = x$

Therefore,

$Value \: of \: x = 50$

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Answer 2

$\huge\underline{\red{A}\pink{N}\blue{S}\purple{W}\orange{E}\blue{R}}$

VALUE OF X=50

$\frac{100^100}{50^50}$

$\frac{50^100×2^100}{50^50}$

$\frac{50^50}{4^50}$

$=>200^50$

Therefore,$\frac{100^100}{50^2}$$=>200^x$$=>200^50$