Algebra Examples

$4^{8} \cdot 4^{2} = 4^{a}$

Step 1

Rewrite the equation as $4^{a} = 4^{8} \cdot 4^{2}$ .

$4^{a} = 4^{8} \cdot 4^{2}$

Step 2

Multiply $4^{8}$ by $4^{2}$ by adding the exponents.

Tap for more steps...

Step 2.1

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$4^{a} = 4^{8 + 2}$

Step 2.2

Add $8$ and $2$ .

$4^{a} = 4^{10}$

Step 3

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

$a = 10$