What is ((1+0.0123)^3)/((1+0.0085)^3) ?

The solution to ((1+0.0123)^3)/((1+0.0085)^3) is 1.01134…

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simplify ((1+0.0123)^3)/((1+0.0085)^3)

simplify

\frac{( 1 + 0.0123 ) ^{3}}{( 1 + 0.0085 ) ^{3}}

1.01134 \dots

Solution steps

\frac{( 1 + 0.0123 ) ^{3}}{( 1 + 0.0085 ) ^{3}}

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

\frac{( 1 + 0.0123 ) ^{3}}{( 1 + 0.0085 ) ^{3}} = (\frac{1 + 0.0123}{1 + 0.0085})^{3}

= (\frac{1 + 0.0123}{1 + 0.0085})^{3}

\frac{1 + 0.0123}{1 + 0.0085} = \frac{1.0123}{1.0085}

= (\frac{1.0123}{1.0085})^{3}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{1.012 3 ^{3}}{1.008 5 ^{3}}

1.012 3^{3} = 1.03735 \dots

= \frac{1.03735 \dots}{1.008 5 ^{3}}

1.008 5^{3} = 1.02571 \dots

= \frac{1.03735 \dots}{1.02571 \dots}

Divide the numbers:

\frac{1.03735 \dots}{1.02571 \dots} = 1.01134 \dots

= 1.01134 \dots

\frac{x ^{7}}{y ^{7}}

39

(6 e^{3 t}) (18 e^{3 t})

l^{2} π \frac{l}{g ( t )} = t

13999.986 e^{- 0.7 (0)}

What is ((1+0.0123)^3)/((1+0.0085)^3) ?
The solution to ((1+0.0123)^3)/((1+0.0085)^3) is 1.01134…