Question
Simplify and express the following in exponential form:
$\frac{5^4\times\text{x}^{10}\text{y}^5}{5^4\times\text{x}^7\text{y}^4}$
$\frac{5^4\times\text{x}^{10}\text{y}^5}{5^4\times\text{x}^7\text{y}^4}$
✓
Answer
$\frac{5^4\times\text{x}^{10}\text{y}^5}{5^4\times\text{x}^7\text{y}^4}$
$=5^{4-4}\times\text{x}^{10-7}\times\text{y}^{5-4}$
$=5^{0}\times\text{x}^3\times\text{y}^1$
$=1\times\text{x}^3\times\text{y}$
$=\text{x}^3\text{y}$
$=5^{4-4}\times\text{x}^{10-7}\times\text{y}^{5-4}$
$=5^{0}\times\text{x}^3\times\text{y}^1$
$=1\times\text{x}^3\times\text{y}$
$=\text{x}^3\text{y}$
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