Question

find the value of (256)^0.16×(256)^0.09?

Answer 1

when the base and then multiplied is same then power must be added.
${256}^{0.16} \times {256}^{0.09} \\ = {256}^{0.16 + 0.09} \\ = {256}^{0.25} \\ = {256}^{ \frac{25}{100} } \\ = ( { {2}^{8} })^{ \frac{25}{100} } \\ = {2}^{ \frac{8 \times 25}{100} } \\ = {2}^{ \frac{200}{100} } \\ = {2}^{2} = 4$

Answer 2

Hi ...dear...
here is your answer....

...see picture....

.. hope it helped you!!
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