Question
Simplify:$\frac{5^{\frac{6}{7}}}{5^{\frac{2}{3}}}$
✓
Answer
$\frac{5^{\frac{6}{7}}}{5^{\frac{2}{3}}}=5^{\big(\frac{6}{7}-\frac{2}{3}\big)}$$=5^{\big(\frac{18-14}{21}\big)}=5^{\frac{4}{21}}$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Express the following decimals in the form $\frac{\text{p}}{\text{q}}:$
2.15
→2.15
Which polynomial is to be added to 4m + 2n + 3 to get the polynomial 6m + 3n + 10?
State which of the following are surds Justify. : $\sqrt[4]{16}$
→Answer the following questions : If P – Q – R and d(P, Q) = 3.4, d(Q, R) = 5.7, then d(P, R) = ?
In the following table, the information is given about the number of families and the siblings in the families less than 14 years of age. Find the mode of the data.
Express the following percentages as ratios : 0.64%
Convert the following ratios into percentages $: 47:50$
→Which of the following expressions are polynomials? In case of a polynomial, write its degree.$\text{x}^{100}-1$
→The following expression are polynomials in one variable and which are not? State the reasons for your answer.$\text{y}^2+2\sqrt{3}$
→Check whether the following numbers are in continued proportion: $9,12,16$
→