Fully simplify using only positive exponents.
start fraction, 24, x, to the power 8 , y, cubed, divided by, 16, x, to the power 8 , y, to the power 8 , end fraction
16x
8
y
8
24x
8
y
3
To fully simplify the expression, we can simplify the numerator and denominator separately.
Numerator: 24x^8 * y^3 = (2^3 * 3)(x^8)(y^3) = 8 * x^8 * y^3
Denominator: 16x^8 * y^8 = (2^4)(x^8)(y^8) = 16 * x^8 * y^8
Now, we can simplify the expression by canceling out common factors from the numerator and denominator:
(8 * x^8 * y^3) / (16 * x^8 * y^8)
Cancel out common factors of 8 and 16: (1 * x^8 * y^3) / (2 * x^8 * y^8)
Next, cancel out common factors of x^8: (1 * 1 * y^3) / (2 * 1 * y^8)
Simplify: y^3 / (2 * y^8)
Finally, rewrite the expression with positive exponents: 1 / (2 * y^5)
so what's the answer
The fully simplified expression is 1 / (2 * y^5).
Fully simplify using only positive exponents.
start fraction, 24, x, to the power 8 , y, cubed, divided by, 16, x, to the power 8 , y, to the power 8 , end fraction
16x
8
y
8
24x
8
y
3
To fully simplify the expression $\frac{24x^8 y^3}{16x^8 y^8}$, we can combine the coefficients and simplify the variables separately.
First, we simplify the coefficient: $\frac{24}{16} = \frac{3}{2}$.
Next, let's simplify the variables:
- The numerator has $x^8$, and the denominator also has $x^8$. This means the $x$ terms cancel out.
- The numerator has $y^3$, and the denominator has $y^8$. This means we need to subtract the exponents: $y^8 - y^3 = y^{8-3} = y^5$.
Putting it all together, the simplified expression is $\frac{3}{2}y^5$.
Write an equivalent expression by distributing the "minus−" sign outside the parentheses:
minus, left bracket, minus, 3, t, minus, 4, point, 8, u, minus, 9, right bracket
−(−3t−4.8u−9)
To distribute the minus sign outside the parentheses in the expression $-(−3t−4.8u−9)$, we can simply change the signs of each term inside the parentheses.
This gives us: $-(-3t) - (-4.8u) - (-9)$.
Simplifying further, we can remove the double negative signs by changing them to positive signs: $3t + 4.8u + 9$.
Therefore, the equivalent expression after distributing the minus sign is $3t + 4.8u + 9$.
what's the answer then
Apologies for the confusion. The equivalent expression after distributing the minus sign outside the parentheses is $3t + 4.8u + 9$.
Enter the missing values in the area model to find 5, left bracket, 7, s, plus, 10, right bracket5(7s+10)
5
7s
+50
Answer
Attempt 1 out of 3
According to the model above, 5, left bracket, 7, s, plus, 10, right bracket, equals5(7s+10)=