✧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
