Simplify. Express your answer using a single exponent. (10t⁷)²

To simplify ((10t^{7})^{2}), you apply the power of a product rule, which states ((ab)^{n} = a^{n}b^{n}).

1. Apply the exponent to both the 10 and (t^7):

[

(10)^{2} cdot (t^{7})^{2}

]

2. Simplify each part:

[

10^{2} cdot t^{14}

]

So, the final simplified expression is (10^{2}t^{14}).

The correct answer is A) (10^{2}t^{14}).