75⋅7−6=?
\( 7^5\cdot7^{-6}=\text{?} \)
\( 12^4\cdot12^{-6}=\text{?} \)
\( 9^{300}\cdot\frac{1}{9^{-252}}\cdot9^{-549}=\text{?} \)
\( (-\frac{1}{8})^8\cdot(-\frac{1}{8})^{-3}=? \)
\( 4^{2x}\cdot\frac{1}{4}\cdot4^{-2}=\text{?} \)
We begin by using the rule for multiplying exponents. (the multiplication between terms with identical bases):
We then apply it to the problem:
When in a first stage we begin by applying the aforementioned rule and then continue on to simplify the expression in the exponent,
Next, we use the negative exponent rule:
We apply it to the expression obtained in the previous step:
We then summarise the solution to the problem: Therefore, the correct answer is option B.
We begin by using the power rule of exponents; for the multiplication of terms with identical bases:
We apply it to the given problem:
When in a first stage we apply the aforementioned rule and then simplify the subsequent expression in the exponent,
Next, we use the negative exponent rule:
We apply it to the expression that we obtained in the previous step:
Lastly we summarise the solution to the problem: Therefore, the correct answer is option A.
\( \frac{1}{-3}\cdot3^{-4}\cdot5^3=\text{?} \)