d
To find the missing base of an exponent, you can use logarithms. If you have an equation in the form ( a^x = b ), where ( a ) is the base and ( b ) is the result, you can take the logarithm of both sides: ( x \log(a) = \log(b) ). Then, solve for the missing base ( a ) by rearranging the equation, which may involve exponentiation or using properties of logarithms. Alternatively, if you have a specific value for the exponent and result, you can also use trial and error or graphing methods to estimate the base.
exponent exponent
8 with an exponent of four
When multiplying a variable with an exponent by a variable without an exponent, you add the exponent of the first variable to the exponent of the second variable (which is considered to be 1). For example, if you multiply (x^2) by (x), the result is (x^{2+1} = x^3). This rule applies to variables with the same base.
( X5 ) x ( X6 ) = X(5+6) = X11
exponent exponent
6x6x5x6x3x2x3 in exponent form is 2 x 32 x 5 x 63
A negative exponent implies a reciprocal.Thus x^-a = 1/x^a or, equivalently, (1/x)^a
10x 10 is Base & x is exponent
In exponent form, we have 52 x 62.
Yes, you can multiply a variable with an exponent by a variable without an exponent. When you do this, you simply add the exponents of the same base. For example, if you multiply (x^2) by (x), the result is (x^{2+1} = x^3).
When you take the square root of a variable raised to an exponent, you divide the exponent by two. For example the square root of x^4 is x^2, because x^2 x x^2 =x^4.