simplify (e is positive)
(24e)^1/3 / (3e)^1/3
(24e/3e)^(1/3)
(8)^1/3
(2*2*2)^(1/3)=?
when you have variable with the same base, you can add, subtract, or multiply the exponents to simplify. in this case you subtract because the equation is a fraction. you also divide the 24 by 3
answer= 8 ( the e's cancel because they have the same exponent)
what montly repayment is a payable on a loan of $75000 at 8% p.a.over a 20-year term
To simplify the expression (24e)^(1/3) / (3e)^(1/3), you can apply the properties of exponents.
First, let's simplify the numerator: (24e)^(1/3).
Since the exponent 1/3 represents the cube root, we can rewrite the numerator as the cube root of 24e.
Next, let's simplify the denominator: (3e)^(1/3).
Similarly, we can rewrite the denominator as the cube root of 3e.
Now, let's combine the simplified numerator and denominator:
(cube root of 24e) / (cube root of 3e)
To simplify this further, we can use the property of radicals that states the cube root of a product is equal to the product of the cube roots:
(cube root of 24e) / (cube root of 3e) = (cube root of 24 * cube root of e) / (cube root of 3 * cube root of e)
Since the cube root of 24 and the cube root of 3 are not perfect cubes, they cannot be simplified further. Therefore, the simplified expression is:
(cube root of 24 * cube root of e) / (cube root of 3 * cube root of e)
Notice that the cube root of e in the numerator and denominator cancels out, leaving us with:
(cube root of 24) / (cube root of 3)
And that is the simplified form of the expression (24e)^(1/3) / (3e)^(1/3).