Question

If 800=8×10^8×x^_3/2,find the value of (2x)^x

Answer 1

800 = 8 x 10²

given 800  x  10⁸ x X ⁻³/²

so 10² = 10⁸ x  X⁻³/²

since 8 -2 = 6  in the place of 3/2 we need 6. So

10⁸ x  (10⁴)⁻³/²  = 10⁸ x 10⁻⁶ = 10²

Now we got x = 10⁴  = 10000

xˣ = 10⁴

2x⁴ = 2x 10⁴ = 20000

Answer 2

Answer:

800 = 8 x 10²

given 800  x  10⁸ x X ⁻³/²

so 10² = 10⁸ x  X⁻³/²

since 8 -2 = 6  in the place of 3/2 we need 6. So

10⁸ x  (10⁴)⁻³/²  = 10⁸ x 10⁻⁶ = 10²

Now we got x = 10⁴  = 10000

xˣ = 10⁴

2x⁴ = 2x 10⁴ = 20000

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