Solve ((M)^(6))/((M)^(5)) | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$\frac{ { M }^{ 6 } }{ { M }^{ 5 } }$$

Evaluate

$M$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{M^{6}}{M^{5}}$$

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

$$M^{6-5}$$

Subtract $5$ from $6$.

$$M^{1}$$

For any term $t$, $t^{1}=t$.

$$M$$

Differentiate w.r.t. M

$1$

Solution Steps

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

$$\frac{\mathrm{d}}{\mathrm{d}M}(\frac{1}{1}M^{6-5})$$

Do the arithmetic.

$$\frac{\mathrm{d}}{\mathrm{d}M}(M^{1})$$

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 $nax^{n-1}$.

$$M^{1-1}$$

Do the arithmetic.

$$M^{0}$$

For any term $t$ except $0$, $t^{0}=1$.

$$1$$