Simplify: (-h^4)^5
Would it be -h^20 or h^20
+ h^20
Explanation :
[(x)^a]^b = (x)^(a)(b) = (x)^ab
But Be Careful when it's like
[ (x)^(1/2) ] ^2
where (^1/2) is the square root and you can't put a negative value under a square root
Addition
But When it's
[ (x)^2 ] ^1/2
you can put a negative value under the square in this case
besides that you change the powers
ex :
(-8)^2/3
that means [ (-8)^2 ] ^1/3
and you can write it as [ (-8)^1/3 ] ^2
* for (^1/3) you can put a negative value
the answer in both cases is 4
first you take the third root of -8 = -2
and the square of -2 = 4
sorry for the long answer but i wanted to make it clear to you
Thank you so much for taking the time to explain it.
To simplify the expression (-h^4)^5, we need to apply the exponent rule for a power raised to a power. According to this rule, we multiply the exponents to simplify.
First, let's rewrite the expression using parentheses:
((-h^4)^5)
Now, we will apply the exponent rule by multiplying the exponents:
(-h^4) * 5
This gives us:
-5h^20
Therefore, the simplified expression is -5h^20.