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ଘାତର ଖେଳ-1 – Book Q A Class 8 Math (ଗଣିତ ପ୍ରକାଶ)

ଏହି ଅଧ୍ୟାୟର ପୃଷ୍ଠା ୩୪  ଏବଂ ୩୫  ରେ ଥିବା 'ନିଜେ କରି ଦେଖ' ବିଭାଗର ପ୍ରଶ୍ନ ଓ ଉତ୍ତରଗୁଡ଼ିକ ଦିଆଗଲା:

୧. ନିମ୍ନରେ ଦିଆଯାଇଥିବା ପରିପ୍ରକାଶକୁ ଘାତାଙ୍କୀୟ ରୂପରେ ଲେଖ:

  • (i) 6×6×6×6=646 \times 6 \times 6 \times 6 = \mathbf{6^4}
  • (ii) y×y=y2y \times y = \mathbf{y^2}
  • (iii) b×b×b×b=b4b \times b \times b \times b = \mathbf{b^4}
  • (iv) 5×5×7×7×7=52×735 \times 5 \times 7 \times 7 \times 7 = \mathbf{5^2 \times 7^3}
  • (v) 2×2×a×a=22×a22 \times 2 \times a \times a = \mathbf{2^2 \times a^2}
  • (vi) a×a×a×c×c×c×c×d=a3×c4×da \times a \times a \times c \times c \times c \times c \times d = \mathbf{a^3 \times c^4 \times d}

୨. ନିମ୍ନଲିଖିତ ପ୍ରତ୍ୟେକ ସଂଖ୍ୟାକୁ ସେମାନଙ୍କର ମୌଳିକ ଗୁଣନୀୟକଗୁଡ଼ିକର ଘାତର ଗୁଣଫଳ ରୂପରେ ପ୍ରକାଶ କର:

  • (i) 648
    • 648=2×2×2×3×3×3×3648 = 2 \times 2 \times 2 \times 3 \times 3 \times 3 \times 3
    • ଉତ୍ତର: 23×34\mathbf{2^3 \times 3^4}
  • (ii) 405
    • 405=3×3×3×3×5405 = 3 \times 3 \times 3 \times 3 \times 5
    • ଉତ୍ତର: 34×5\mathbf{3^4 \times 5}
  • (iii) 540
    • 540=2×2×3×3×3×5540 = 2 \times 2 \times 3 \times 3 \times 3 \times 5
    • ଉତ୍ତର: 22×33×5\mathbf{2^2 \times 3^3 \times 5}
  • (iv) 3600
    • 3600=2×2×2×2×3×3×5×53600 = 2 \times 2 \times 2 \times 2 \times 3 \times 3 \times 5 \times 5
    • ଉତ୍ତର: 24×32×52\mathbf{2^4 \times 3^2 \times 5^2}

୩. ନିମ୍ନଲିଖିତ ପ୍ରତ୍ୟେକର ସାଂଖ୍ୟିକ ମାନ ଲେଖ:

  • (i) 2×103=2×1000=20002 \times 10^3 = 2 \times 1000 = \mathbf{2000}
  • (ii) 72×23=49×8=3927^2 \times 2^3 = 49 \times 8 = \mathbf{392}
  • (iii) 3×44=3×256=7683 \times 4^4 = 3 \times 256 = \mathbf{768}
  • (iv) (3)2×(5)2=9×25=225(-3)^2 \times (-5)^2 = 9 \times 25 = \mathbf{225}
  • (v) 32×104=9×10000=900003^2 \times 10^4 = 9 \times 10000 = \mathbf{90000}
  • (vi) (2)5×(10)6=32×1,000,000=3,20,00,000(-2)^5 \times (-10)^6 = -32 \times 1,000,000 = \mathbf{-3,20,00,000}