1. The value of 7^3√32 rounded to the nearest tenth is?
do you mean
(7^3)√32
or
7^(3√32)
?
in either case, just type it in at wolframalpha.com
First one
To find the value of 7^3√32, we first need to calculate 3√32.
To do this, we can use the formula for the nth root of a number, which states that the nth root of a number x can be calculated by raising x to the power of 1/n.
In this case, we want to calculate the cube root (3√) of 32.
Using the formula, we have 3√32 = 32^(1/3).
Calculating this, we find that 3√32 is approximately equal to 2.884.
Now that we have found the value of 3√32, we can use it to calculate 7^3√32.
To do this, we raise 7 to the power of 3√32 (2.884).
Using a calculator, we find that 7^2.884 is approximately equal to 193.1.
Finally, we are asked to round the value to the nearest tenth.
Looking at the digit in the tenths place (the first digit after the decimal point), which is 1, we can determine that 193.1 rounded to the nearest tenth is 193.1 itself.
Therefore, the value of 7^3√32 rounded to the nearest tenth is 193.1.