Question

(-3)⁴ x (-3)⁶ =-(-3)?, then ? =
​

Answer 1

SOLUTION

GIVEN

$\sf{ {( - 3)}^{4} \times {( - 3)}^{6} = {( - 3)}^{?} }$

TO DETERMINE

The value in ?

EVALUATION

Here it is given that

$\sf{ {( - 3)}^{4} \times {( - 3)}^{6} = {( - 3)}^{?} }$

Let n be the number in ?

$\sf{ {( - 3)}^{4} \times {( - 3)}^{6} = {( - 3)}^{n} }$

$\sf{ \implies \: {( - 3)}^{4 + 6} = {( - 3)}^{n} }$

$\sf{ \implies \: {( - 3)}^{10} = {( - 3)}^{n} }$

$\sf{ \implies \: {( - 3)}^{n} = {( - 3)}^{10} }$

Comparing both sides we get n = 10

FINAL ANSWER

The value in ? is 10

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