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What rational exponent represents a cube root taken to the fourth power?
4/3
What is rational exponent notation?
rational numbers are commonly referred to as fractions Any root ... square root, cube root, etc can be expressed as a rational exponent sq rt of x = x1/2 cube root of x = x1/3 if there is an exponent inside the radical you can also have rational exponents with some numerator other than 1 ex 4th root of x3 = x3/4
What are rational exponents and how are they related to integer exponents?
A rational exponent means that you use a fraction as an exponent, for example, 10 to the power 1/3. These exponents are interpreted as follows, for example:10 to the power 1/3 = 3rd root of 1010 to the power 2/3 = (3rd root of 10) squared, or equivalently, 3rd root of (10 squared)
Is the square root of 37 rational?
is the square root of 3 rational
Is the square root of 1500 rational?
No, the square root of 1500 is not a rational number.
What rational exponent represents a square root?
Raising to the one half (1/2) power is the same as taking the square root.
Which rational exponent represents a cube root?
1/3
What rational exponent represents a cube root?
3
What rational exponent represents a cube root taken to the fourth power?
4/3
What is rational exponent notation?
rational numbers are commonly referred to as fractions Any root ... square root, cube root, etc can be expressed as a rational exponent sq rt of x = x1/2 cube root of x = x1/3 if there is an exponent inside the radical you can also have rational exponents with some numerator other than 1 ex 4th root of x3 = x3/4
What are rational exponents and how are they related to integer exponents?
A rational exponent means that you use a fraction as an exponent, for example, 10 to the power 1/3. These exponents are interpreted as follows, for example:10 to the power 1/3 = 3rd root of 1010 to the power 2/3 = (3rd root of 10) squared, or equivalently, 3rd root of (10 squared)
Is the square root an exponent?
Yes, the square root is equivalent to an exponent of 1/2.Suppose the exponent is a rational number of the form p/q where p and q are integers and q > 0. Then x^(p/q) = (the qth root of x) raised to the power p or, equivalently, (the qth root of (x raised to the power p).
What rational exponent represents a square root cubed?
Cube root is represented as to the power of 1/3.Squared is represented as to the power of 2.A cube root squared is therefore equal to the power of 2 x 1/3 = 2/3.
Is the square root of 1000 rational?
No, the square root of 1000 is not rational.
Is the square root of 37 rational?
is the square root of 3 rational
Can you have a fraction as an exponent of a constant?
yes you can. The numerator of the exponent is the normal integer type of exponent degree you are most used to seeing. The denominator of the exponent is similar to the degree of the root, as in square root, cube root, etc. Pi is of course a constant. Pi to power of 3/2, π3/2, is the same as the square root of the quantity pi cubed (which is the same as the cube of the square root of pi). Fractional exponents (rational exponents) follow the same algebra rules as integer exponents.
Is square root of 4 rational?
The square root of 4 is 2. 2 is a rational number so they square root of 4 is rational.
