Solve 0.015^160.975^4*1.1*(1+1/0.92)

$${ 0.015 }^{ 16 } { 0.975 }^{ 4 } \times 1.1 \times (1+ \frac{ 1 }{ 0.92 } )$$

Evaluate

$$\frac{3286339626139713}{241172480000000000000000000000000000000000000}\approx 1.362651172 \cdot 10^{-29}$$

Solution Steps

Calculate 0.015 to the power of 16 and get 0.000000000000000000000000000006568408355712890625.

$$0.000000000000000000000000000006568408355712890625\times 0.975^{4}\times 1.1\left(1+\frac{1}{0.92}\right)$$

Calculate 0.975 to the power of 4 and get 0.903687890625.

$$0.000000000000000000000000000006568408355712890625\times 0.903687890625\times 1.1\left(1+\frac{1}{0.92}\right)$$

Multiply 0.000000000000000000000000000006568408355712890625 and 0.903687890625 to get 0.000000000000000000000000000005935791091737806797027587890625.

$$0.000000000000000000000000000005935791091737806797027587890625\times 1.1\left(1+\frac{1}{0.92}\right)$$

Multiply 0.000000000000000000000000000005935791091737806797027587890625 and 1.1 to get 0.0000000000000000000000000000065293702009115874767303466796875.

$$0.0000000000000000000000000000065293702009115874767303466796875\left(1+\frac{1}{0.92}\right)$$

Expand \frac{1}{0.92} by multiplying both numerator and the denominator by 100.

$$0.0000000000000000000000000000065293702009115874767303466796875\left(1+\frac{100}{92}\right)$$

Reduce the fraction \frac{100}{92} to lowest terms by extracting and canceling out 4.

$$0.0000000000000000000000000000065293702009115874767303466796875\left(1+\frac{25}{23}\right)$$

Convert 1 to fraction \frac{23}{23}.

$$0.0000000000000000000000000000065293702009115874767303466796875\left(\frac{23}{23}+\frac{25}{23}\right)$$

Since \frac{23}{23} and \frac{25}{23} have the same denominator, add them by adding their numerators.

$$0.0000000000000000000000000000065293702009115874767303466796875\times \frac{23+25}{23}$$

Add 23 and 25 to get 48.

$$0.0000000000000000000000000000065293702009115874767303466796875\times \frac{48}{23}$$

Convert decimal number 0.0000000000000000000000000000065293702009115874767303466796875 to fraction \frac{1095446542046571}{10000000000}. Reduce the fraction \frac{1095446542046571}{10000000000} to lowest terms by extracting and canceling out 1.

$$\frac{1095446542046571}{167772160000000000000000000000000000000000000}\times \frac{48}{23}$$

Multiply \frac{1095446542046571}{167772160000000000000000000000000000000000000} times \frac{48}{23} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1095446542046571\times 48}{167772160000000000000000000000000000000000000\times 23}$$

Do the multiplications in the fraction \frac{1095446542046571\times 48}{167772160000000000000000000000000000000000000\times 23}.

$$\frac{52581434018235408}{3858759680000000000000000000000000000000000000}$$

Reduce the fraction \frac{52581434018235408}{3858759680000000000000000000000000000000000000} to lowest terms by extracting and canceling out 16.

$$\frac{3286339626139713}{241172480000000000000000000000000000000000000}$$

Factor

$$\frac{11 \cdot 3 ^ {21} \cdot 13 ^ {4}}{23 \cdot 2 ^ {57} \cdot 5 ^ {37}} = 1.3626511723641577 \times 10^{-29}$$