Question

what is the answe for 625who to the power -1/2 whole to the power -1/4 whole to the power 2​

Answer 1

Answer:

5

Step-by-step explanation:

${(( {( {625)}^{ - \frac{1}{2} } )}^{ - \frac{1}{4} } )}^{2} \\ = {(( {625)}^{ - \frac{1}{2} \times - \frac{1}{4} } )}^{2} \\ = {( {625)}^{ \frac{1}{8} } )}^{2} \\ = {(625)}^{ \frac{1}{8} \times 2} \\ = {(625)}^{ \frac{2}{8} } \\ = {(625)}^{ \frac{1}{4} } \\ = {( ({5)}^{4}) }^{ \frac{1}{4} } \\ = {(5)}^{4 \times \frac{1}{4} } \\ = 5$

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