Question

1. $\frac{3^{4} cdot 15^{3}}{5^{3}}$

Explanation:

Step1: Rewrite 15 as 3×5

$15^7 = (3 \times 5)^7 = 3^7 \times 5^7$

Step2: Substitute into the expression

$\frac{3^4 \times 3^7 \times 5^7}{5^7}$

Step3: Cancel out $5^7$ terms

$\frac{3^4 \times 3^7}{1}$

Step4: Add exponents of like bases

$3^{4+7} = 3^{11}$

Step5: Calculate the final value

$3^{11}=177147$

Answer:

$3^{11}$ or 177147