Join IDNLearn.com and become part of a knowledge-sharing community that thrives on curiosity. Join our knowledgeable community to find the answers you need for any topic or issue.
Sagot :
Let's simplify the expression \(\left(\frac{3}{x}\right)^4\) step by step.
1. Initial Expression:
[tex]\[ \left(\frac{3}{x}\right)^4 \][/tex]
2. Applying the Exponent:
When you raise a fraction to a power, you apply the exponent to both the numerator and the denominator. So,
[tex]\[ \left(\frac{3}{x}\right)^4 = \frac{3^4}{x^4} \][/tex]
3. Calculating the Exponents:
Calculate \(3^4\):
[tex]\[ 3^4 = 3 \times 3 \times 3 \times 3 = 81 \][/tex]
The \(x^4\) term remains as it is:
[tex]\[ x^4 \][/tex]
4. Final Simplified Expression:
Combine the results from the numerator and the denominator:
[tex]\[ \frac{3^4}{x^4} = \frac{81}{x^4} \][/tex]
So, the simplified expression is:
[tex]\[ \frac{81}{x^4} \][/tex]
We can write it as \(\frac{81}{x}\). Therefore, the answer to what should be written in the numerator is 81.
[tex]\[ \frac{81}{x^4} \][/tex]
1. Initial Expression:
[tex]\[ \left(\frac{3}{x}\right)^4 \][/tex]
2. Applying the Exponent:
When you raise a fraction to a power, you apply the exponent to both the numerator and the denominator. So,
[tex]\[ \left(\frac{3}{x}\right)^4 = \frac{3^4}{x^4} \][/tex]
3. Calculating the Exponents:
Calculate \(3^4\):
[tex]\[ 3^4 = 3 \times 3 \times 3 \times 3 = 81 \][/tex]
The \(x^4\) term remains as it is:
[tex]\[ x^4 \][/tex]
4. Final Simplified Expression:
Combine the results from the numerator and the denominator:
[tex]\[ \frac{3^4}{x^4} = \frac{81}{x^4} \][/tex]
So, the simplified expression is:
[tex]\[ \frac{81}{x^4} \][/tex]
We can write it as \(\frac{81}{x}\). Therefore, the answer to what should be written in the numerator is 81.
[tex]\[ \frac{81}{x^4} \][/tex]
We appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. Your search for answers ends at IDNLearn.com. Thanks for visiting, and we look forward to helping you again soon.