Question

(а² × х³)⁵ ______ (а²)² × х⁵

Answer 1

Ответ:

Объяснение:

(a10*х15)/(а4*х5)=а6*х10

Answer 2

The expression you've provided seems to be a fraction with two terms in the numerator and one term in the denominator. Let's simplify it step by step:

Expression: $\frac{(a^2 \cdot x^3)^5}{(a^2)^2 \cdot x^5}$

Step 1: Distribute the exponent in the numerator: $(a^2 \cdot x^3)^5 = a^{2 \cdot 5} \cdot x^{3 \cdot 5} = a^{10} \cdot x^{15}$

Step 2: Simplify the denominator: $(a^2)^2 = a^{2 \cdot 2} = a^4$

Step 3: Combine the simplified terms in the numerator and denominator: $\frac{a^{10} \cdot x^{15}}{a^4 \cdot x^5}$

Step 4: Apply the quotient rule for exponents (subtract the exponents when dividing with the same base): $a^{10 - 4} \cdot x^{15 - 5} = a^6 \cdot x^{10}$

So, the simplified expression is $a^6 \cdot x^{10}$.