Fully simplify using only positive exponents.
21 xy
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8x^8 y^2
ANSWER IT CORRECTLY
To simplify the expression fully and eliminate negative exponents, we can rewrite the expression as:
(21xy) / (8x^8y^2)
First, let's simplify the coefficients:
21 / 8 = 2.625
Next, let's simplify the variables:
x / x^8 = x^(1-8) = x^-7
y / y^2 = y^(1-2) = y^-1
Now, let's put it all together:
2.625 * x^-7 * y^-1
To eliminate negative exponents, we can move them to the denominator by changing the sign:
2.625 / (x^7 * y)
So, the fully simplified expression is 2.625 / (x^7 * y).
ully simplify using only positive exponents.
start fraction, 21, x, y, divided by, 7, x, to the power 8 , y, squared, end fraction
7x
8
y
2
21xy
start fraction, 21, x, y, divided by, 7, x, to the power 8 , y, squared, end fraction
7x
8
y
2
21xy
start fraction, 21, divided by, 7, end fraction, equals, start fraction, 7, dot, 3, divided by, 7, dot, 1, end fraction, equals, start fraction, 3, divided by, 1, end fraction
7
21
=
7⋅1
7⋅3
=
1
3
Simplify numbers
start fraction, x, divided by, x, to the power 8 , end fraction, equals, start fraction, x, divided by, x, dot, x, to the power 7 , end fraction, equals, start fraction, 1, divided by, x, to the power 7 , end fraction
x
8
x
=
x⋅x
7
x
=
x
7
1
Simplify the x's
start fraction, y, divided by, y, squared, end fraction, equals, start fraction, y, divided by, y, dot, y, end fraction, equals, start fraction, 1, divided by, y, end fraction
y
2
y
=
y⋅y
y
=
y
1
Simplify the y's
Put it all together:
Put it all together:
start fraction, 3, divided by, 1, end fraction, dot, start fraction, 1, divided by, x, to the power 7 , end fraction, dot, start fraction, 1, divided by, y, end fraction, equals, start fraction, 3, divided by, x, to the power 7 , y, end fraction
1
3
⋅
x
7
1
⋅
y
1
=
x
7
y
3
Your Answers
Attempt 1 out of 3 (incorrect)
start fraction, 21, divided by, 8, x, to the power 6 , end fraction
8x
6
21
Attempt 2 out of 3 (incorrect)
start fraction, 21, x, y, divided by, 8, end fraction
8
21xy
Attempt 3 out of 3 (incorrect)
start fraction, 2, point, 5, 2, 5, divided by, left bracket, x, to the power 7 , y, right bracket, end fraction
(x
7
y)
2.525