-Simplify-i-2 times- 103-ii-72 times-22-iii-23- times- 5-iv-3 times-44-v-0 times-102- shy- shy- shy- shy- shy-vi-52- times- 33-vii-24- times- 32-viii-32- times- 104-

(i) 2 times; 103 = 2 times; 10 times; 10 times; 10 = 2 times; 1000 = 2000 (ii) 72 times; 22 = 7 times; 7 times; 2 times; 2 ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard X

Mathematics

Cartesian Product

Simplify: ...

Question

Simplify:

(i) 2 × 10³ (ii) 7² × 2²

(iii) 2³ × 5 (iv) 3× 4⁴

(v) 0 × 10² (vi) 5² × 3³

(vii) 2⁴× 3² (viii) 3² × 10⁴

Open in App

Solution

(i) 2 × 10³ = 2 × 10 × 10 × 10 = 2 × 1000 = 2000

(ii) 7² × 2² = 7 × 7 × 2 × 2 = 49 × 4 = 196

(iii) 2³ × 5 = 2 × 2 × 2 × 5 = 8 × 5 = 40

(iv) 3 × 4⁴ = 3 × 4 × 4 × 4 × 4 = 3 × 256 = 768

(v) 0 × 10² = 0 × 10 × 10 = 0

(vi) 5² × 3³ = 5 × 5 × 3 × 3 × 3 = 25 × 27 = 675

(vii) 2⁴ × 3² = 2 × 2 × 2 × 2 × 3 × 3 = 16 × 9 = 144

(viii) 3² × 10⁴ = 3 × 3 × 10 × 10 × 10 × 10 = 9 × 10000 = 90000

Suggest Corrections

Similar questions

Simplify:

(i) 2 × 10³ (ii) 7² × 2²

(iii) 2³ × 5 (iv) 3× 4⁴

(v) 0 × 10² (vi) 5² × 3³

(vii) 2⁴× 3² (viii) 3² × 10⁴

Q. Simplify:

(i)

\sqrt[3]{3} + \sqrt[10]{3}

(ii)

\sqrt[7]{5} - \sqrt[4]{5} + \sqrt{125}

(iii)

\sqrt[4]{8} + \sqrt{32} - \sqrt[3]{2}

(iv)

\sqrt{50} - \sqrt{98} + \sqrt{162}

(v)

\sqrt[7]{48} - \sqrt{72} - \sqrt{27} + \sqrt[3]{2}

(vi)

\sqrt[5]{3} + \sqrt[2]{27} + 4 \sqrt{\frac{1}{3}}

(vii)

\frac{1}{2} \sqrt{243} - \sqrt{\frac{27}{4}}

(viii)

\sqrt{\frac{8}{9}} - 3 \sqrt{\frac{1}{2}} + 5 \sqrt{\frac{9}{8}}

(ix)

\sqrt[4]{2} - 2 \sqrt{8} + \frac{3}{\sqrt{2}}

(x)

8 \sqrt[3]{16} + \sqrt[3]{54} + \sqrt[3]{250}

Q. Simplify:

(i)

(\sqrt{3} + \frac{1}{\sqrt{3}}) (\sqrt{3} - \frac{1}{\sqrt{3}})

(ii)

(\sqrt[4]{6} - \sqrt[4]{5}) (\sqrt[4]{6} + \sqrt[4]{5}) (\sqrt[]{6} + \sqrt[]{5})

(iii)

(\sqrt{5} + \sqrt{2}) (\sqrt{5} + 3 \sqrt{2})

(iv)

2 \sqrt{x^{3}} \times x \sqrt[3]{a}

(v)

\sqrt[3]{2} \times \sqrt{5}

(vi)

\sqrt{2} . \sqrt[3]{3} . \sqrt[4]{4}

(vii)

\sqrt[6]{12} \div (\sqrt{3} \sqrt[3]{2})

(viii)

\sqrt[4]{28} \div \sqrt[3]{7}

(ix)

6 \sqrt[3]{25} \div \sqrt[2]{5}

(x)

\sqrt[6]{256} \div \sqrt[3]{2}

(xi)

\sqrt{x^{6} y^{3}} \div \sqrt[3]{x^{2} y}

Q. Simplify by rationalizing the denominator

(i)

\frac{4}{\sqrt{7} + \sqrt{3}}

(ii)

\frac{\sqrt{7} - \sqrt{5}}{\sqrt{7} + \sqrt{5}}

(iii)

\frac{5 + 3 \sqrt{2}}{5 - 3 \sqrt{2}}

(iv)

\frac{2 \sqrt{3} - \sqrt{2}}{2 \sqrt{2} + 3 \sqrt{3}}

(v)

\frac{7 \sqrt{3} - 5 \sqrt{2}}{\sqrt{48} + \sqrt{18}}

(vi)

\frac{x + 9}{\sqrt{x + 9}}

(vii)

\frac{1}{{(3 + \sqrt{5})}^{2}} + \frac{1}{{(3 - \sqrt{5})}^{2}}

Q. Simplify:
(i)

(4 + \sqrt{2}) (4 - \sqrt{2})

(ii)

(\sqrt{5} + \sqrt{3}) (\sqrt{5} - \sqrt{3})

(iii)

(6 - \sqrt{6}) (6 + \sqrt{6})

(iv)

(\sqrt{5} - \sqrt{2}) (\sqrt{2} - \sqrt{3})

(v)

{(\sqrt{5} - \sqrt{3})}^{2}

(vi)

{(3 - \sqrt{3})}^{2}

Join BYJU'S Learning Program

Simplify: (i) 2 × 103 (ii) 72 × 22 (iii) 23 × 5 (iv) 3 × 44 (v) 0 × 102 ­­­­­ (vi) 52 × 33 (vii) 24 × 32 (viii) 32 × 104

Simplify:

(i) 2 × 10³ (ii) 7² × 2²

(iii) 2³ × 5 (iv) 3× 4⁴

(v) 0 × 10² (vi) 5² × 3³

(vii) 2⁴× 3² (viii) 3² × 10⁴