Simply the expression 5x^-2
A) 1/5x^2
B) -10x
C) 5/x^2
D) 1/25x^2
5(x^(-2)) = 5/(x^2). Your answer is C.
Sure. I'm assuming '8 other' means eight other problems. Go ahead! I just want you to learn from my solutions along the way. Do we have a deal?
Shantel, I'm not trying to be impatient, but where are the 8 other problems?
Jakob yes we do
evaluate 7x^-4y^2 for x=1 and y=3?
Simply the expression (-x)^5(4x)^2?
Which is equivalent to (2x^2)^3?
Which expression is equivalent to 12x^6y^-4z^2 / 3x^2y^-6z^3?
In 1997 the population of a small town was 700. If the annual rate of increase is about 8%, which value below expresses the population five years later?
The diameter of the sun is 864,000 miles. How can this value be expressed in scientific notation?
What sequence below represents an exponential sequence? {2,6,10,14,18,. . .} {3,5,9,16,24,. . .} {4,8,24,96,. . .} {256,64,16,4,. . .}
Thanks for writing back!
1. 7(x^(-4))(y^2)=7*9=63.
2. (-x)^5 * (4x)^2 = -(x^5) * 16x^2 = -16x^7.
3. (2x^2)^3 simplifies to 8x^6. Please make sure you see why I can only simplify this.
4. (12x^6/3x^2)(y^(-4)/y^(-6))((z^2)/(z^3))=4(x^4)(y^2)(z^(-1))
5. If the rate of growth is always 8%, then I got roughly 1028.53 people. This is problematic, so I rounded it to 1029. Let me know if this doesn't work out.
6. 864,000 = 8.64 * (10^5)
7. The third sequence is exponential.
I hope this helped you!
Jakob can you help me with 8 other
#7. 4th sequence
@oobleck. That would be incorrect. The nth term in the third sequence can be found with the expression 4 * 3^(n-1). The nth term in the fourth sequence can be found with the expression 256/(4^(n-1)), and is therefore logarithmic.
To simplify the expression 5x^-2, we can use the rules of simplifying expressions with exponents.
First, let's rewrite the expression with a positive exponent. According to the rule a^-n = 1/a^n, we can rewrite x^-2 as 1/x^2.
Now, we have 5 * (1/x^2). To simplify further, we can use the rule of multiplying fractions. When multiplying fractions, we multiply the numerators together and the denominators together.
So, we have (5 * 1) / (x^2 * 1). The numerator, 5 * 1, gives us 5.
For the denominator, x^2 * 1 is just x^2.
Putting it all together, the expression simplifies to 5/x^2.
Therefore, the correct answer is C) 5/x^2.