Solve (15^4div15^11)*1/225

$$( 15 ^ { 4 } \div 15 ^ { 11 } ) \times \frac { 1 } { 225 }$$

Evaluate

$$\frac{1}{38443359375}\approx 2.601229487 \cdot 10^{-11}$$

Solution Steps

Rewrite 15^{11} as 15^{4}\times 15^{7}. Cancel out 15^{4} in both numerator and denominator.

$$\frac{1}{15^{7}}\times \frac{1}{225}$$

Calculate 15 to the power of 7 and get 170859375.

$$\frac{1}{170859375}\times \frac{1}{225}$$

Multiply \frac{1}{170859375} times \frac{1}{225} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 1}{170859375\times 225}$$

Do the multiplications in the fraction \frac{1\times 1}{170859375\times 225}.

$$\frac{1}{38443359375}$$

Factor

$$\frac{1}{3 ^ {9} \cdot 5 ^ {9}} = 2.6012294873748925 \times 10^{-11}$$