Question

1.b^21 : b^15 2.a^5 • a^7 3.(c^6)^74.d^10 • d^12 : d^75.(e^3)^8 • e^9)^2 • e​

Answer 1

Ответ:

1. b²¹ : b¹⁵ = b⁶

2. a⁵ * a⁷ = a¹²

3. (c⁶)⁷ = c⁴²

4. d¹⁰ * d¹² : d⁷ = d¹⁵

5. (e³)⁸ * (e⁹)² * e = e⁴³

Answer 2

Let's simplify each expression step by step:

1. b^21 : b^15 When dividing powers with the same base, you subtract the exponents: b^21 : b^15 = b^(21 - 15) = b^6

2. a^5 • a^7 When multiplying powers with the same base, you add the exponents: a^5 • a^7 = a^(5 + 7) = a^12

3. (c^6)^7 To raise a power to another power, you multiply the exponents: (c^6)^7 = c^(6 * 7) = c^42

4. d^10 • d^12 : d^7 When dividing powers with the same base, you subtract the exponents: d^10 • d^12 : d^7 = d^(10 + 12 - 7) = d^15

5. (e^3)^8 • e^9)^2 • e First, simplify (e^3)^8 = e^(3 * 8) = e^24. Next, simplify (e^9)^2 = e^(9 * 2) = e^18. Finally, multiply e^24 • e^18 • e = e^(24 + 18 + 1) = e^43.

So, the simplified expressions are:

1. b^21 : b^15 = b^6
2. a^5 • a^7 = a^12
3. (c^6)^7 = c^42
4. d^10 • d^12 : d^7 = d^15
5. (e^3)^8 • e^9)^2 • e = e^43