Question

Возведите одночлен в степень:a)(8x)²б)(2c²a³)³в)(-xy²a³)⁵​

Answer 1

Ответ:

а)64х²

б)8а⁹с⁶

в)-а¹⁵ х⁵у¹⁰

Answer 2

a) (8x)²: To raise a monomial to a power, we multiply the exponents. In this case, we have (8x)², so we need to square both the coefficient and the variable.

The coefficient is 8, so we square it: 8² = 64.

The variable is x, so we square it: x².

Therefore, (8x)² simplifies to 64x².

b) (2c²a³)³: Again, we need to raise both the coefficient and the variables to the power of 3.

The coefficient is 2, so we cube it: 2³ = 8.

The variables are c² and a³. We cube each of them separately: - c²³ = c^(2*3) = c⁶ - a³³ = a^(3*3) = a⁹

Therefore, (2c²a³)³ simplifies to 8c⁶a⁹.

c) (-xy²a³)⁵: Once again, we need to raise both the coefficient and the variables to the power of 5.

The coefficient is -1, so we raise it to the power of 5: (-1)⁵ = -1.

The variables are x, y², and a³. We raise each of them to the power of 5: - x⁵ - (y²)⁵ = y^(2*5) = y¹⁰ - (a³)⁵ = a^(3*5) = a¹⁵

Therefore, (-xy²a³)⁵ simplifies to -x⁵y¹⁰a¹⁵.

I hope this helps! Let me know if you have any further questions.