Question

(-7)³×(-7)²⁶×(-7)⁷ repede va rog dau coroana​

Answer 1

✧To find

The product

✧Given

{( - 7)}^{3} \times {( - 7)}^{4} \times {( - 7)}^{7}(−7)

3

×(−7)

4

×(−7)

7

☣Solution

When the base is the same and the power is different then we can add all the power by taking the base same.

\boxed{ \implies\mathfrak{ {a}^{2} \times {a}^{4} = {a}^{2 + 4} }}

⟹a

2

×a

4

=a

2+4

» Now solving this question :

\mathfrak{\leadsto{( - 7)}^{3} \times {( - 7)}^{4} \times {( - 7)}^{7}}⇝(−7)

3

×(−7)

4

×(−7)

7

\leadsto \bigg( \mathfrak{ { - 7}^{3 + 4 + 7} } \bigg)⇝(−7

3+4+7

)

\leadsto \red{ \sf\bigg ( { - 7}^{14} \bigg)}⇝(−7

14

)

\sf⊙Answer = (-7)³ \times (-7)⁴ \times (-7)⁷ = \blue{\bold{ - 7}^{14} }⊙Answer=(−7)³×(−7)⁴×(−7)⁷=−7

14