Solve 10^15/10^4text{equalto}10^11?Ex

$$\frac { 10 ^ { 15 } } { 10 ^ { 4 } } \text { equal to } 10 ^ { 11 } ? E x$$

Evaluate

$$10000000000000000000000eEaloqtux$$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 4 from 15 to get 11.

$$10^{11}equalto\times 10^{11}Ex$$

To multiply powers of the same base, add their exponents. Add 11 and 11 to get 22.

$$10^{22}equaltoEx$$

Calculate 10 to the power of 22 and get 10000000000000000000000.

$$10000000000000000000000equaltoEx$$

Differentiate w.r.t. x

$$10000000000000000000000eEaloqtu$$