Courses
Courses for Kids
Free study material
Offline Centres
More
Store

# Solve $49\times {{\left( -7 \right)}^{m}}=-343$.

Last updated date: 21st Jul 2024
Total views: 348k
Views today: 3.48k
Verified
348k+ views
Hint: We can solve this problem in an easy way with the cube root of both sides. We will find the value of $m$ in this and this can be found if we solve both sides of the equation and then take cube root and then compare the powers of both or without taking cube root by comparing the powers directly and solve them. It will make this question easy and solvable.

According to our question it is asked to us to solve $49\times {{\left( -7 \right)}^{m}}=-343$. We will solve these problems very easily. As we know that if any term is given in multiplication form, then we always solve that as much as possible to find the values of the desired variable and for this question we will find $m$ in this and this can be found if we solve both the sides of the equation and then take cube root and then compare the powers of both or without taking cube root by comparing the powers directly and solve them. It will make this question easy and solvable. So, if we see our question, then:
$49\times {{\left( -7 \right)}^{m}}=-343$
\begin{align} & {{7}^{2}}\times {{\left( -7 \right)}^{m}}={{\left( -7 \right)}^{3}} \\ & \Rightarrow{{\left( -7 \right)}^{2+m}}={{\left( -7 \right)}^{3}} \\ \end{align}
\begin{align} & 2+m=3 \\ & \Rightarrow m=3-2=1 \\ \end{align}
So the value of $m$ is 1.