(а^-2)^3×а^5×5/а^-7×а^4

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вопрос

To simplify this expression, we will first apply the power rule of exponents, which states that when raising a power to another power, we multiply the exponents:

(а^-2)^3 = а^-6

Next, we will simplify the expression by multiplying the remaining terms together:

(а^-6) × а^5 × 5 / а^-7 × а^4
= а^-6 × а^5 × 5 × а^4 / а^-7
= 5 × а^-6 × а^5 × а^4 / а^-7
= 5 × а^3

Therefore, the simplified expression is 5a^3.