Basic Math Examples

${(49)}^{3} = 7^{m}$

Step 1

Rewrite the equation as $7^{m} = 49^{3}$ .

$7^{m} = 49^{3}$

Step 2

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

$7^{m} = 7^{2 \cdot 3}$

Step 3

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

$m = 2 \cdot 3$

Step 4

Multiply $2$ by $3$ .

$m = 6$