Assuming these are 4^(1/7), 4^(7/2), 7^(1/4) and 7^(1/2), the conversion process is pretty quick. the denominator, or bottom, of your fraction exponent becomes the "index" of your radical -- in ∛, "3" is your index, just for reference. the numerator, aka the top of the fraction exponent, becomes a power inside the radical.
4^(1/7) would become ⁷√4 .... the bottom of the fraction becomes the small number included in the radical and the 4 goes beneath the radical
in cases such as this one, where 1 is on top of the fraction radical, that number does technically go with the 4 beneath the radical--however, 4¹ = 4 itself, so there is no need to write the implied exponent.
4^(7/2) would become √(4⁷) ... the 7th power goes with the number under your radical and the "2" becomes a square root
7^(1/4) would become ⁴√7 ... like the first answer, the bottom of the fraction exponent becomes the index of the radical and 7 goes beneath the radical. again, the 1 exponent goes with the 7 beneath the radical, but 7¹ = 7
7^(1/2) would become, simply, √7
Answer:
Step-by-step explanation:
Multiply the numerator and denomiator of 1/16 by 2 so that the denominators are equal and we can subtract.
Then, subtract
The interest would be $123.5
Answer:
I'm here! This Problem is easy :) The answer is 4
Step-by-step explanation:
2x+10=5x−2
<em>Subtract </em>5x from both sides
2x+10−5x=−2
<em>Combine</em> 2x and −5x to get −3x.
−3x+10=−2
Subtract 10 from <em>both sides.</em>
−3x=−12
<em>Divide</em> both sides by −3.
Divide −12 by −3 to get 4.
x = 4 (D)
For this case we must indicate an expression equivalent to:
For properties of powers we have to:
So, the above expression can be rewritten as:
Thus, the resulting expression is: 
Answer:
Option D
