Solve left(1+0.013right)^60-1/0.013

$$\frac{ { \left(1+0.013 \right) }^{ 60 } -1 }{ 0.013 }$$

Evaluate

$$90.041126305161273019191243468430934105492722830888415522177345248446519433052364969680625784117897896875060974224489969300472254728055084140972730797300044902783545359327706865877$$

Solution Steps

Add 1 and 0.013 to get 1.013.

$$\frac{1.013^{60}-1}{0.013}$$

Calculate 1.013 to the power of 60 and get 2.170534641967096549249486165089602143371405396801549401788305488229804752629680744605848135193532672659375792664918369600906139311464716093832645500364900583736186089671260189256401.

$$\frac{2.170534641967096549249486165089602143371405396801549401788305488229804752629680744605848135193532672659375792664918369600906139311464716093832645500364900583736186089671260189256401-1}{0.013}$$

Subtract 1 from 2.170534641967096549249486165089602143371405396801549401788305488229804752629680744605848135193532672659375792664918369600906139311464716093832645500364900583736186089671260189256401 to get 1.170534641967096549249486165089602143371405396801549401788305488229804752629680744605848135193532672659375792664918369600906139311464716093832645500364900583736186089671260189256401.

$$\frac{1.170534641967096549249486165089602143371405396801549401788305488229804752629680744605848135193532672659375792664918369600906139311464716093832645500364900583736186089671260189256401}{0.013}$$

Expand \frac{1.170534641967096549249486165089602143371405396801549401788305488229804752629680744605848135193532672659375792664918369600906139311464716093832645500364900583736186089671260189256401}{0.013} by multiplying both numerator and the denominator by 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000.

$$\frac{1170534641967096549249486165089602143371405396801549401788305488229804752629680744605848135193532672659375792664918369600906139311464716093832645500364900583736186089671260189256401}{13000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}$$

Reduce the fraction \frac{1170534641967096549249486165089602143371405396801549401788305488229804752629680744605848135193532672659375792664918369600906139311464716093832645500364900583736186089671260189256401}{13000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000} to lowest terms by extracting and canceling out 13.

$$\frac{90041126305161273019191243468430934105492722830888415522177345248446519433052364969680625784117897896875060974224489969300472254728055084140972730797300044902783545359327706865877}{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}$$