simplify 25*t^9/5^3*10*t^4
Answers
Step-by-step explanation:
2
5
9
5
3
⋅
1
0
4
\frac{25t^{9}}{5^{3}} \cdot 10t^{4}
5325t9⋅10t4
Simplify
1
Evaluate the exponent
2
5
9
5
3
⋅
1
0
4
\frac{25t^{9}}{{\color{#c92786}{5^{3}}}} \cdot 10t^{4}
5325t9⋅10t4
2
5
9
1
2
5
⋅
1
0
4
\frac{25t^{9}}{{\color{#c92786}{125}}} \cdot 10t^{4}
12525t9⋅10t4
2
Cancel terms that are in both the numerator and denominator
2
5
9
1
2
5
⋅
1
0
4
{\color{#c92786}{\frac{25t^{9}}{125}}} \cdot 10t^{4}
12525t9⋅10t4
9
5
⋅
1
0
4
{\color{#c92786}{\frac{t^{9}}{5}}} \cdot 10t^{4}
5t9⋅10t4
3
Re-order terms so that constants are on the left
9
5
⋅
1
0
4
\frac{t^{9}}{5} \cdot 10t^{4}
5t9⋅10t4
1
0
⋅
9
5
⋅
4
10 \cdot \frac{t^{9}}{5} \cdot t^{4}
10⋅5t9⋅t4
4
Combine multiplied terms into a single fraction
1
0
⋅
9
5
⋅
4
10 \cdot \frac{t^{9}}{5} \cdot t^{4}
10⋅5t9⋅t4
1
0
9
4
5
\frac{10t^{9}t^{4}}{5}
510t9t4
5
Combine exponents
1
0
9
4
5
\frac{10{\color{#c92786}{t^{9}}}{\color{#c92786}{t^{4}}}}{5}
510t9t4
1
0
1
3
5
\frac{10{\color{#c92786}{t^{13}}}}{5}
510t13
6
Cancel terms that are in both the numerator and denominator
1
0
1
3
5
{\color{#c92786}{\frac{10t^{13}}{5}}}
510t13
2
1
3
{\color{#c92786}{2t^{13}}}
2t13
Solution
2
1
3