Fully simplify and write your answer in exponential form with positive exponents only.
x^-9\cdotx^-4 \cdotx^-2
To fully simplify the expression and write it in exponential form with positive exponents only, we can combine the exponents:
x^(-9) * x^(-4) * x^(-2) = x^(-9 - 4 - 2) = x^(-15)
Therefore, the expression fully simplified and written in exponential form with positive exponents only is x^(-15).
To simplify the expression x^-9 * x^-4 * x^-2, we can use the rules of exponents.
When multiplying like bases, add the exponents.
Using this rule, we can simplify the expression as follows:
x^-9 * x^-4 * x^-2 = x^(-9 + (-4) + (-2))
Next, we can combine the exponents:
= x^-15
Now, to write the answer in exponential form with positive exponents only, we can reciprocate the base with the positive exponent:
1/x^15
Therefore, fully simplified and written in exponential form with positive exponents only, the expression x^-9 * x^-4 * x^-2 is equal to 1/x^15.
To simplify the expression and write it in exponential form with positive exponents only, you can use the rules of exponents. When multiplying with the same base, the exponents are added together.
So, let's start simplifying the expression step by step:
x^-9 * x^-4 * x^-2
First, group all the x terms together:
x^( -9 -4 -2 )
Now, let's simplify the exponents:
x^(-15)
To convert the expression to exponential form with positive exponents only, we can use the rule that x^-n is equivalent to 1/x^n. Therefore:
x^-15 = 1/x^15
So, the simplified expression in exponential form with positive exponents only is 1/x^15.