Question

5^10 × 5^15 : (5^2)^5 : 5^5​

Answer 1

Salut!

5¹⁰ × 5¹⁵ ÷ ( 5² )⁵ ÷ 5⁵ =

5¹⁰ × 5¹⁵ ÷ 5¹⁰ ÷ 5⁵ =

5²⁵ ÷ 5¹⁰ ÷ 5⁵ =

5¹⁵ ÷ 5⁵ =

5¹⁰

Answer 2

Răspuns:

$\boxed{\boxed{\mathbf{5^{10}}}}$

Explicație pas cu pas:

$\mathbf{5^{10} \cdot 5^{15} : (5^2)^5 : 5^5}=$

$\mathbf{5^{10} \cdot 5^{15} : 5^{2\cdot 5} : 5^5}=$

$\mathbf{5^{10+15}:5^{10}:5^5}=$

$\mathbf{5^{25}:5^{10}:5^5}=$

$\mathbf{5^{25-10}:5^5}=$

$\mathbf{5^{15}:5^5}=$

$\mathbf{5^{15-5}}={\boxed{\mathbf{5^{10}}}}$