Solve t^24divt^4=

$$t ^ { 24 } \div t ^ { 4 } =$$

Evaluate

$$t^{20}$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{t^{24}}{t^{4}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$t^{24-4}$$

Subtract 4 from 24.

$$t^{20}$$

Differentiate w.r.t. t

$$20t^{19}$$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$\frac{\mathrm{d}}{\mathrm{d}t}(\frac{1}{1}t^{24-4})$$

Do the arithmetic.

$$\frac{\mathrm{d}}{\mathrm{d}t}(t^{20})$$

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.

$$20t^{20-1}$$

Do the arithmetic.

$$20t^{19}$$