Fully simplify and write your answer in exponential form with positive exponents only.
2^-7*2*2^-6=
To simplify this expression, we can add the exponents of the common base, which in this case is 2.
2^-7 * 2 * 2^-6 = 2^(-7 + 1 - 6)
Next, we can combine the exponents:
2^( -7 + 1 - 6 ) = 2^(-12)
The simplified expression in exponential form with positive exponents only is 2^(-12).
To simplify the expression 2^-7 * 2 * 2^-6, we can use the properties of exponents.
First, we can simplify the multiplication of the two exponents:
2^-7 * 2^-6 = 2^(-7-6) = 2^-13
Since we want the answer in positive exponent form, we can rewrite 2^-13 as the reciprocal of 2^13:
2^-13 = 1 / 2^13
Therefore, the fully simplified expression in exponential form with positive exponents only is:
1 / 2^13
To simplify the expression and write it in exponential form with positive exponents, we can use the laws of exponents.
The product of two numbers with the same base can be simplified by adding their exponents. So, we'll add the exponents of 2 that we have in this expression.
Now let's simplify step by step:
2^-7 * 2 * 2^-6
To combine the terms with the same base, we can add the exponents:
2^(-7+1-6)
Now, let's simplify the exponent:
2^-12
To write this in exponential form with positive exponents, we can take the reciprocal of the base with the positive exponent:
1/2^12
So, the fully simplified expression in exponential form with positive exponents is:
1/4096