Question

1.47. 1)x²:x²=? 2)b¹²:b¹⁰=? 3)2,5¹⁶:2,5⁷=? ​

Answer 1

$1) \: \: \: \: \: {x}^{2} \div {x}^{2} = 1$

$2) \: \: \: \: \: {b}^{12} \div {b}^{10} = {b}^{2}$

$3) \: \: \: \: \: {2.5}^{16} \div {2.5}^{7} = {2.5}^{9}$

Пояснение:

При деление степенных числах степени отнимается

Answer 2

Ответ:

Объяснение: любое число в 0 степени равно 1

при делении степеней с одинаковым основанием показатели вычитаются

Answer 3

Let's simplify each expression:

1. $\frac{x^2}{x^2}$: When you divide a term with the same base (in this case, $x$) and with the same exponent (in this case, 2), the result is 1. Therefore, $\frac{x^2}{x^2} = 1$.

2. $\frac{b^{12}}{b^{10}}$: When you divide terms with the same base ($b$), you subtract the exponents. Therefore, $\frac{b^{12}}{b^{10}} = b^{12-10} = b^2$.

3. $\frac{2.5^{16}}{2.5^7}$: Similar to the previous example, when you divide terms with the same base (2.5), you subtract the exponents. Therefore, $\frac{2.5^{16}}{2.5^7} = 2.5^{16-7} = 2.5^9$.

So, the simplified expressions are:

1. $\frac{x^2}{x^2} = 1$
2. $\frac{b^{12}}{b^{10}} = b^2$
3. $\frac{2.5^{16}}{2.5^7} = 2.5^9$