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karush
Gold Member
MHB
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ok without any calculation I felt it could not be determined since we have one equation with 2 variables
thank youCountry Boy said:$27= 3^3$ and $81= 3^4$ so $(3^{3v})(27^w)= 81^{12}$
is $3^{3v}(3^{3w})= (3^4)^12$
$3^{3v+ 3w}= 3^{48}$.
$3v+ 3w= 48$ so $v+ w= 16$.
Yes, we have only one equation for v and w but the question does not ask us to solve for v and w.
The average of v, w, and 35 is $\frac{v+ w+ 35}{3}= \frac{16+ 35}{3}= \frac{51}{3}= 17$.
An exponent value is a numerical representation of how many times a base number is multiplied by itself. It is written as a superscript to the right of the base number.
To calculate an exponent value, you need to raise the base number to the power of the exponent. For example, 2^3 would be calculated as 2 x 2 x 2, which equals 8.
Exponent values are used to represent very large or very small numbers in a more concise and manageable way. They are also used in mathematical equations and formulas to simplify calculations.
Yes, an exponent value can be negative. This indicates that the base number is being divided by itself a certain number of times. For example, 2^-3 would be calculated as 1 / (2 x 2 x 2), which equals 1/8 or 0.125.
To simplify expressions with exponent values, you can use the exponent rules. These include multiplying exponents with the same base, dividing exponents with the same base, and raising a power to a power. It is also important to remember the order of operations when simplifying expressions.