Question

Evaluate :
3 power -7 ÷ 3 power -10 × 3 power -5​​

Answer 1

Step-by-step explanation:

$\tt 3^{-7}÷ 3 ^{ -10} × 3 ^{ -5 }$

$\tt 3^{-7}× \frac{1}{3^{ -10}}× 3 ^{ -5 }$

$\tt \frac{1}{3^{7}}× 3^{ 10}× \frac{1}{3 ^{5}}$

$\tt \dfrac{3^{10}}{3^{7+5}}$

$\tt \dfrac{3^{10}}{3^{12}}$

$\tt \dfrac{1}{3^{2}}$

$\tt 3^{-2}$

Answer 2

Step-by-step explanation:

3

−7

÷3

−10

×3

−5

\tt 3^{-7}× \frac{1}{3^{ -10}}× 3 ^{ -5 }3

−7

×

3

−10

1

×3

−5

\tt \frac{1}{3^{7}}× 3^{ 10}× \frac{1}{3 ^{5}}

3

7

1

×3

10

×

3

5

1

\tt \dfrac{3^{10}}{3^{7+5}}

3

7+5

3

10

\tt \dfrac{3^{10}}{3^{12}}

3

12

3

10

\tt \dfrac{1}{3^{2}}

3

2

1

\tt 3^{-2}3

−2

Answer 3

Step-by-step explanation:

3

−7

÷3

−10

×3

−5

\tt 3^{-7}× \frac{1}{3^{ -10}}× 3 ^{ -5 }3

−7

×

3

−10

1

×3

−5

\tt \frac{1}{3^{7}}× 3^{ 10}× \frac{1}{3 ^{5}}

3

7

1

×3

10

×

3

5

1

\tt \dfrac{3^{10}}{3^{7+5}}

3

7+5

3

10

\tt \dfrac{3^{10}}{3^{12}}

3

12

3

10

\tt \dfrac{1}{3^{2}}

3

2

1

\tt 3^{-2}3

−2

Answer 4

Step-by-step explanation:

3

−7

÷3

−10

×3

−5

\tt 3^{-7}× \frac{1}{3^{ -10}}× 3 ^{ -5 }3

−7

×

3

−10

1

×3

−5

\tt \frac{1}{3^{7}}× 3^{ 10}× \frac{1}{3 ^{5}}

3

7

1

×3

10

×

3

5

1

\tt \dfrac{3^{10}}{3^{7+5}}

3

7+5

3

10

\tt \dfrac{3^{10}}{3^{12}}

3

12

3

10

\tt \dfrac{1}{3^{2}}

3

2

1

\tt 3^{-2}3

−2