Question

Simplify.
3√27t^27

hi i need steps to simplify the equation for this question!

Answer 1

the answer is 3t^9

1. since there is a 3 in front of the square root, you have to find the cube root of 27 which is 3.
2. you will find what number times 3 will equal the exponent 27 ----> 9(3)=27

Answer 2

The expression
`\sqrt[3]{27}`
`t^(27)`plifies to 3t^9 by taking the cube root of both 27, which gives 3, and
`t^(27)`ich simplifies to the exponent is divided by 3.

To simplify the expression
`\sqrt[27]{3}`
`t^(27)`, we can break it down into two parts: the cube root of 27, and t raised to the 27th power. The cube root of 27 is 3, since 3 x 3 x 3 equals 27. Next, since the cube root applies to the entire term, we also take the cube root of
`t^(27)`, which simplifies to
`t^(9)`cause when you take cube roots, you divide exponents by 3 (27 divided by 3 equals 9).

After simplifying, we are left with the expression 3
`t^9`. Remember, when simplifying exponential expressions, it helps to break down the numbers and manipulate the exponents according to the roots and powers they are subjected to. The final simplified expression does not require a calculator and offers a straightforward multiplication of a number and a variable raised to a power.