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What is the seventh root of 128?
The seventh root of a number is the number that, when raised to the power of 7, equals the original number. To find the seventh root of 128, you would calculate 128^(1/7), which is approximately 2.0801. This means that 2.0801 raised to the power of 7 is equal to 128.
Square root of x to the sixth power?
x3.
How do you simplify the cube root of x squared times the square root of x?
Personally I prefer to convert roots to fractional powers for this kind of problem. cube root of x squared is x2/3, and square root of x is x1/2. Adding the exponents, you get x2/3 times x1/2 = x7/6, that is, the sixth root of x to the seventh power - where it doesn't matter whether you take the sixth root first, or raise to the sevents power first. Alternatively, you can convert all roots to sixth roots, and multiply - and of course, get the same result.
What is The cube root of x to the sixth power times y to the negative 4 power?
x squared times y to the negative four thirds power
What is the cube root of x54?
The equation is equivalent to 'x to the power of 4 thirds' times 'x to the power of 2.5'. Multiplying them together, we simply add the powers, giving 'x to the power of 23/6' or the 'sixth root of x to the power of 23'.
