311 = 177147
177,147
it will be a cube or a to the power of 3.
4 to the 11th power is 4,194,304
Yes. 268 = 5² + 3⁵
2^11=2048
177,147
885,735
81
it will be a cube or a to the power of 3.
4 to the 11th power is 4,194,304
9 to the 11th is 31381,059,609
the 11th root of 10 to the 8th power is 5.336
The sum of the 10th, 11th and 12th terms = 129 therefore the value of the 11th term is 129/3 = 43. The sum of the 19th, 20th and 21st terms = 237 therefore the value of the 20th term is 237/3 = 79. The difference between the 20th and 11th terms is 79-43 = 36 therefore the common difference is 36/9 = 4. Using the 11th term gives us 43 = 11 x 4 + a, therefore a = -1. The AP is therefore -1 + 4n
212 + 313 = 4096 + 1594323 = 1598419
21
No, the sum of two power functions is not always a power function. For example, if we take ( f(x) = x^2 ) and ( g(x) = x^3 ), their sum ( f(x) + g(x) = x^2 + x^3 ) is not a power function, as it cannot be expressed in the form ( x^k ) for a single exponent ( k ). In general, the sum of two power functions with different exponents yields a polynomial rather than a single power function.
Yes. 268 = 5² + 3⁵