15y-8 - 5y-6 is nbsp-3y-2True-False-

The correct option is A True By the Laws of exponents, we know that a^m/a^n = a^m n . ⇒ 15y^8 ÷ 5y^6=15y^8/5y^6=3y^8 6=3y^2 ∴ The given statement is true. ...

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Byju's Answer

Standard VII

Mathematics

Quotient Law

15y^8 ÷ 5y^...

Question

$15 y^{8} \div 5 y^{6}$ is $3 y^{2}$

True

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False

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Solution

The correct option is A
True

By the Laws of exponents, we know that $\frac{a^{m}}{a^{n}} = a^{m - n}$ .

$\Rightarrow 15 y^{8} \div 5 y^{6} = \frac{15 y^{8}}{5 y^{6}} = 3 y^{8 - 6} = 3 y^{2}$

$∴$ The given statement is true.

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Similar questions

Q. Divide and write the answer in the form:

Dividend = divisor × quotient + remainder

(7) (15y⁸ + 10y⁶) ÷ y⁶

Expand:
(1) $(a + 2) (a - 1)$
(2) $(m - 4) (m + 6)$
(3) $(p + 8) (p - 3)$
(4) $(13 + x) (13 - x)$
(5) $(3 x + 4 y) (3 x + 5 y)$
(6) $(9 x - 5 t) (9 x + 3 t)$
(7) $(m + \frac{2}{3}) (m - \frac{7}{3})$
(8) $(x + \frac{1}{x}) (x - \frac{1}{x})$
(9) $(\frac{1}{y} + 4) (\frac{1}{y} - 9)$

Simplify :

$(i) \frac{a^{5} b^{2}}{a^{2} b^{- 3}} (i i) 15 y^{8} \div 3 y^{3} (i i i) x^{10} y^{6} \div x^{3} y^{- 2} (i v) 5 z^{16} \div 15 z^{- 11} (v) (36 x^{2})^{\frac{1}{2}} (v i) (125 x^{- 3})^{\frac{1}{3}} (v i i) (2 x^{2} y^{- 3})^{- 2} (v i i i) (27 x^{- 3} y^{6})^{\frac{2}{3}} (i x) {(- 2 x^{\frac{2}{3}} y^{- \frac{3}{2}})}^{6}$

$15 y^{8} \div 5 y^{6}$ is $3 y^{2}$

Q. Simplify:

(i i)

15 y^{8} \div 3 y^{3}

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15y8 ÷ 5y6 is 3y2

The correct option is A True By the Laws of exponents, we know that aman = am−n . ⇒15y8 ÷ 5y6=15y85y6=3y8−6=3y2 ∴ The given statement is true.

$15 y^{8} \div 5 y^{6}$ is $3 y^{2}$

The correct option is A
True

By the Laws of exponents, we know that $\frac{a^{m}}{a^{n}} = a^{m - n}$ .

$\Rightarrow 15 y^{8} \div 5 y^{6} = \frac{15 y^{8}}{5 y^{6}} = 3 y^{8 - 6} = 3 y^{2}$

$∴$ The given statement is true.