Question

1) (x³)⁵×x⁶= 2) (n⁵)⁴÷(n²)³​=​

Answer 1

Ответ:

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Answer 2

Let's solve the given expressions step by step:

1. (x³)⁵ × x⁶:

To simplify this expression, we can apply the rule of exponents that states (aⁿ)ᵐ = a^(n × m). Using this rule, we can simplify the expression as follows:

(x³)⁵ × x⁶ = x^(3 × 5) × x⁶ = x^15 × x⁶

To multiply two terms with the same base, we can add their exponents:

x^15 × x⁶ = x^(15 + 6) = x^21

Therefore, the simplified form of (x³)⁵ × x⁶ is x^21.

2. (n⁵)⁴ ÷ (n²)³:

Applying the rule of exponents again, we have:

(n⁵)⁴ ÷ (n²)³ = n^(5 × 4) ÷ n^(2 × 3) = n^20 ÷ n^6

To divide two terms with the same base, we subtract their exponents:

n^20 ÷ n^6 = n^(20 - 6) = n^14

Therefore, the simplified form of (n⁵)⁴ ÷ (n²)³ is n^14.