Basic Math Examples

1200 = 150 \cdot 2^{a + 4}

$1200 = 150 \cdot 2^{a + 4}$

Step 1

Rewrite the equation as

150 \cdot 2^{a + 4} = 1200

$150 \cdot 2^{a + 4} = 1200$ .

150 \cdot 2^{a + 4} = 1200

$150 \cdot 2^{a + 4} = 1200$

Step 2

Divide each term in

150 \cdot 2^{a + 4} = 1200

$150 \cdot 2^{a + 4} = 1200$ by

150

$150$ and simplify.

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Step 2.1

Divide each term in

150 \cdot 2^{a + 4} = 1200

$150 \cdot 2^{a + 4} = 1200$ by

150

$150$ .

\frac{150 \cdot 2^{a + 4}}{150} = \frac{1200}{150}

$\frac{150 \cdot 2^{a + 4}}{150} = \frac{1200}{150}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of

150

$150$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{150 \cdot 2^{a + 4}}{150} = \frac{1200}{150}$

Step 2.2.1.2

Divide

$2^{a + 4}$ by

$1$ .

$2^{a + 4} = \frac{1200}{150}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide

$1200$ by

$150$ .

$2^{a + 4} = 8$

Step 3

Create equivalent expressions in the equation that all have equal bases.

$2^{a + 4} = 2^{3}$

Step 4

Since the bases are the same, then two expressions are only equal if the exponents are also equal.

$a + 4 = 3$

Step 5

Move all terms not containing

$a$ to the right side of the equation.

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Step 5.1

Subtract

$4$ from both sides of the equation.

$a = 3 - 4$

Step 5.2

Subtract

$4$ from

$3$ .

$a = - 1$