Basic Math Examples

$8 y \sqrt{64 y^{2}} + 9 y - 99$

Step 1

Rewrite $64 y^{2}$ as ${(8 y)}^{2}$ .

$8 y \sqrt{{(8 y)}^{2}} + 9 y - 99$

Step 2

Pull terms out from under the radical, assuming positive real numbers.

$8 y (8 y) + 9 y - 99$

Step 3

Rewrite using the commutative property of multiplication.

$8 \cdot 8 y \cdot y + 9 y - 99$

Step 4

Multiply $y$ by $y$ by adding the exponents.

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Step 4.1

Move $y$ .

$8 \cdot 8 (y \cdot y) + 9 y - 99$

Step 4.2

Multiply $y$ by $y$ .

$8 \cdot 8 y^{2} + 9 y - 99$

Step 5

Multiply $8$ by $8$ .

$64 y^{2} + 9 y - 99$