How to solve mand 963 m Date

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve mand 963 m Date | Equatix

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Question

$$12 \times 10 ^ { 9 } 1 \times 93 \times 10 ^ { 7 } m$$

Evaluate

$11160000000000000000m$

Solution Steps

To multiply powers of the same base, add their exponents. Add $9$ and $7$ to get $16$.

$$12\times 10^{16}\times 1\times 93m$$

Calculate $10$ to the power of $16$ and get $10000000000000000$.

$$12\times 10000000000000000\times 1\times 93m$$

Multiply $12$ and $10000000000000000$ to get $120000000000000000$.

$$120000000000000000\times 1\times 93m$$

Multiply $120000000000000000$ and $1$ to get $120000000000000000$.

$$120000000000000000\times 93m$$

Multiply $120000000000000000$ and $93$ to get $11160000000000000000$.

$$11160000000000000000m$$

Show Solution

Differentiate w.r.t. m

$11160000000000000000$

Steps Using Definition of a Derivative

To multiply powers of the same base, add their exponents. Add $9$ and $7$ to get $16$.

$$\frac{\mathrm{d}}{\mathrm{d}m}(12\times 10^{16}\times 1\times 93m)$$

Calculate $10$ to the power of $16$ and get $10000000000000000$.

$$\frac{\mathrm{d}}{\mathrm{d}m}(12\times 10000000000000000\times 1\times 93m)$$

Multiply $12$ and $10000000000000000$ to get $120000000000000000$.

$$\frac{\mathrm{d}}{\mathrm{d}m}(120000000000000000\times 1\times 93m)$$

Multiply $120000000000000000$ and $1$ to get $120000000000000000$.

$$\frac{\mathrm{d}}{\mathrm{d}m}(120000000000000000\times 93m)$$

Multiply $120000000000000000$ and $93$ to get $11160000000000000000$.

$$\frac{\mathrm{d}}{\mathrm{d}m}(11160000000000000000m)$$

The derivative of $ax^{n}$ is $nax^{n-1}$.

$$11160000000000000000m^{1-1}$$

Subtract $1$ from $1$.

$$11160000000000000000m^{0}$$

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

$$11160000000000000000\times 1$$

For any term $t$, $t\times 1=t$ and $1t=t$.

$$11160000000000000000$$