simplify the expression; write without using negative exponents. Assume all numbers are positive
(b^1/2 X a^-5/3)^2
1/2^2 = .25 so 1/4 so b^1/4 and 5/3^2=2.77 so is it b^1/4 a^2.77
(a^b)^c = a^(bc)
and
1/2 * 2 = 1 not .25
(b^1/2 X a^-5/3)^2
b^1 a^-10/3 = b/ a^(10/3)
b/a^10/3
no.
(bn)m = nmn
and...
a-m= 1/am
To simplify the expression (b^(1/2) * a^(-5/3))^2 without using negative exponents, we can start by expanding the exponent of 2 to each term inside the parentheses.
First, let's simplify the expression inside the parentheses: b^(1/2) * a^(-5/3).
To simplify a^(-5/3), we can rewrite it as 1/a^(5/3).
Now we have: b^(1/2) * 1/a^(5/3).
Next, let's simplify b^(1/2). The square root of b is denoted as b^(1/2).
The square root of a number can be written as the number raised to the power of 1/2.
Now we have: b^(1/2) * 1/a^(5/3).
To simplify the expression further, we can rewrite b^(1/2) as (b)^(1/2) and a^(5/3) as (a^(5/3))^2.
Using the property of exponents, we can multiply the exponents by each other.
Now we have: (b)^(1/2) * 1/(a^(5/3))^2.
Simplifying further, we have: (b)^(1/2) * 1/a^(10/3).
Since the exponent of 2 applies to the entire expression, we can square both terms: (b^(1/2))^2 = b^(1/2 * 2) = b^(1).
Now we have: b * 1/a^(10/3).
Finally, we can write the simplified expression without negative exponents as: b * a^(-10/3).
Note that a^(-10/3) is equivalent to 1/a^(10/3).
Therefore, the simplified expression without using negative exponents is: b * a^(-10/3) or b * 1/a^(10/3).