Question

1) (y⁴)³= 2)(-x⁶)²=3) m⁵m⁴=4)(m⁵)⁴=5)((a⁷)³)²=6)(a⁶)³*(a²)⁴=7)(-a⁵)³*(-a⁴):⁷a¹²=8) a¹²:(a⁹)³:a=​

Answer 1

Ответ:

Смотри

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Answer 2

Let's simplify each expression:

1. $(y^4)^3 = y^{4 \times 3} = y^{12}$

2. $(-x^6)^2 = (-1)^2 \times (x^6)^2 = x^{6 \times 2} = x^{12}$

3. $m^5 \times m^4 = m^{5 + 4} = m^9$

4. $(m^5)^4 = m^{5 \times 4} = m^{20}$

5. $((a^7)^3)^2 = (a^{7 \times 3})^2 = a^{21 \times 2} = a^{42}$

6. $a^6 \times a^3 \times a^8 = a^{6 + 3 + 8} = a^{17}$

7. $(-a^5)^3 \times (-a^4)^7 \div a^{12} = (-1)^3 \times (-1)^7 \times a^{5 \times 3 + 4 \times 7 - 12} = -a^{15 - 28 - 12} = -a^{-25}$

8. $\frac{a^{12}}{(a^9)^3 \div a} = \frac{a^{12}}{a^{27} \div a} = \frac{a^{12}}{a^{26}} = a^{12 - 26} = a^{-14}$

Note: In these simplifications, I've used the property $a^{m \times n} = (a^m)^n$ and $a^m \times a^n = a^{m + n}$. Additionally, $a^{-n} = \frac{1}{a^n}$.