Question

Please help me. I've been trying to figure it out but I don't understand.

Answer 1

Answer:

8 is the correct answer....

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Answer 2

Step-by-step explanation:

${2}^{ - 3} \times {?}^{ - 3} = {10}^{?} \\ \\ we \: know \: that \: (xy) {}^{m} = {x}^{m} \times {y}^{m} \\ \\ {x}^{m} \times {x}^{n} = {x}^{m + n} \\ \\ 2 \times {?} = 10 \\ \\ = > {?} = \frac{10}{2} \\ \\ = > {?} = 5\\ \\ {2}^{ - 3} \times {5}^{ - 3} = {10}^{?} \\ \\ = > (5 \times 2) {}^{ - 3} = {10}^{?} \\ \\ = > {10}^{ - 3} = {10}^{?} \\ \\ = > {?} = - 3 \\ \\ \\ answer \: \: {2}^{ - 3} \times {5}^{ - 3} = {10}^{ - 3}$