Answer:
Explanation:
The expression that you want to simplify is:
This is the simplification step-by-step:
1. Mulitply the expressions on the numerator among them and the expressions on the denominator among them:
[tex]5x\times \frac{1}{x^{-7}}\times x^{-2}=\frac{5x\cdot x^{-2}}{x^{-7}}[/tex]
2. For equal bases that are multiplying, add the exponents:
[tex]\frac{5x\cdot x^{-2}}{x^{-7}}=\frac{5x^{1-2}}{x^{-7}}=\frac{5x^{-1}}{x^{-7}}[/tex]
3. Pass the power on the denominator to the numerator by changing its sign (negative exponents become positive when inverted)
[tex]\frac{5x^{-1}}{x^{-7}}=5x^{-1}x^{7}[/tex]
4. Simplify adding the exponents with the same base:
[tex]5x^{-1}x^{7}=5x^{-1+7}=5x^6[/tex]
And that is the final expression in its most simple form.
Answer:
Answer:
Explanation:
The expression that you want to simplify is:
This is the simplification step-by-step:
1. Mulitply the expressions on the numerator among them and the expressions on the denominator among them:
2. For equal bases that are multiplying, add the exponents:
3. Pass the power on the denominator to the numerator by changing its sign (negative exponents become positive when inverted)
4. Simplify adding the exponents with the same base:
And that is the final expression in its most simple form.
Step-by-step explanation:
