$(2.25)^{8} > (4.5)^{4}$

True

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False

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Solution

The correct option is A True
$(2.25)^{8}$ can be written as $((2.25)^{2})^{4}$
now $(2.25)^{2}$ = 5.0625, hence $((2.25)^{2})^{4}$ = $(5.0625)^{4}$
Comparing, $(5.0625)^{4}$ and $(4.5)^{4}$ , we can say that
$(5.0625)^{4} > (4.5)^{4}$
$∴$ $(2.25)^{8} > (4.5)^{4}$

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(2.25)8>(4.5)4

The correct option is A True (2.25)8 can be written as ((2.25)2)4 now (2.25)2 = 5.0625, hence ((2.25)2)4 = (5.0625)4 Comparing, (5.0625)4 and(4.5)4, we can say that (5.0625)4>(4.5)4 ∴ (2.25)8>(4.5)4

$(2.25)^{8} > (4.5)^{4}$

The correct option is A True
$(2.25)^{8}$ can be written as $((2.25)^{2})^{4}$
now $(2.25)^{2}$ = 5.0625, hence $((2.25)^{2})^{4}$ = $(5.0625)^{4}$
Comparing, $(5.0625)^{4}$ and $(4.5)^{4}$ , we can say that
$(5.0625)^{4} > (4.5)^{4}$
$∴$ $(2.25)^{8} > (4.5)^{4}$